Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420a |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
197612649617760000 = 28 · 39 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278343,52319358] |
[a1,a2,a3,a4,a6] |
Generators |
[559:-8450:1] [207:1890:1] |
Generators of the group modulo torsion |
j |
98055792/8125 |
j-invariant |
L |
7.7562781200858 |
L(r)(E,1)/r! |
Ω |
0.31037424422586 |
Real period |
R |
2.082506915544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680cf2 30420c2 2340d2 |
Quadratic twists by: -4 -3 13 |