Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322d |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9.2074689668611E+33 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-66802166524,-4780232897102000] |
[a1,a2,a3,a4,a6] |
Generators |
[211822624611155899571320499422160852839335906188176072785459076589571504520965946339685350708098256384214539028067510232406382215763992519466810690975535875058908695082098964944948124304029933127078435933221872555:-67278308383761458160979219150057834180784866317073953918183343998623219006277136969493353309505194730164644592080980186619939073163135057443076626925867562769337588897020190439969458872666525297351209579478295652877:624629779778745605262228539201462800316493316960259650363287768631677732729796587242608725522986428138295811483872762455930259587593691655124738550903671705792061095191996575385029544787542394116015788787375] |
Generators of the group modulo torsion |
j |
55425212630542527476751037873/15479334185118626660294016 |
j-invariant |
L |
3.0317556297913 |
L(r)(E,1)/r! |
Ω |
0.0095890484525415 |
Real period |
R |
316.16855883003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966bx3 1218h4 |
Quadratic twists by: -3 29 |