Atkin-Lehner |
2+ 3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30090b |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3227367010406400 = 212 · 32 · 52 · 172 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6312214,-6104611288] |
[a1,a2,a3,a4,a6] |
Generators |
[-147706115862:73061506412:101847563] |
Generators of the group modulo torsion |
j |
27814339775203210732396249/3227367010406400 |
j-invariant |
L |
4.2131641793865 |
L(r)(E,1)/r! |
Ω |
0.095247621066202 |
Real period |
R |
11.058449891515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90270bc2 |
Quadratic twists by: -3 |