Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31080y |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-8055936000 = -1 · 210 · 35 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 6 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336,-5040] |
[a1,a2,a3,a4,a6] |
Generators |
[24:36:1] |
Generators of the group modulo torsion |
j |
-4108974916/7867125 |
j-invariant |
L |
6.5801462733471 |
L(r)(E,1)/r! |
Ω |
0.52461164146418 |
Real period |
R |
1.2542890308309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160b1 93240v1 |
Quadratic twists by: -4 -3 |