Atkin-Lehner |
2- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378p |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3278901248 = 212 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16699,834731] |
[a1,a2,a3,a4,a6] |
j |
514956713316561153/3278901248 |
j-invariant |
L |
3.7843413057527 |
L(r)(E,1)/r! |
Ω |
1.2614471019176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59024w1 66402b1 51646w1 125426q1 |
Quadratic twists by: -4 -3 -7 17 |