Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030a |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-87708303514720 = -1 · 25 · 5 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8365,338965] |
[a1,a2,a3,a4,a6] |
j |
826551/1120 |
j-invariant |
L |
1.2241133630974 |
L(r)(E,1)/r! |
Ω |
0.4080377876998 |
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 |
37030i1 |
Quadratic twists by: -23 |