Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200dj |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-24568810124083200 = -1 · 229 · 310 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 1 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32308488,70673548788] |
[a1,a2,a3,a4,a6] |
j |
-36422828671263791996785/239929786368 |
j-invariant |
L |
5.1895309124509 |
L(r)(E,1)/r! |
Ω |
0.25947654562195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650d1 111600fo1 37200co1 |
Quadratic twists by: -4 -3 5 |