Atkin-Lehner |
2+ 3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94350a |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
7698960000000 = 210 · 32 · 57 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5400,72000] |
[a1,a2,a3,a4,a6] |
Generators |
[5:210:1] |
Generators of the group modulo torsion |
j |
1114835073409/492733440 |
j-invariant |
L |
4.6907153564432 |
L(r)(E,1)/r! |
Ω |
0.66631763438636 |
Real period |
R |
0.87996983762792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870v1 |
Quadratic twists by: 5 |