Atkin-Lehner |
2- 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190bt |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-40974356250 = -1 · 2 · 36 · 55 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1247,-19231] |
[a1,a2,a3,a4,a6] |
j |
-293946977449/56206250 |
j-invariant |
L |
3.9761260894645 |
L(r)(E,1)/r! |
Ω |
0.39761260894718 |
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 |
3910a1 |
Quadratic twists by: -3 |