Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7636a |
Isogeny class |
Conductor |
7636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
702 |
Modular degree for the optimal curve |
Δ |
-702512 = -1 · 24 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 0 0 0 -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,21] |
[a1,a2,a3,a4,a6] |
j |
55296000/43907 |
j-invariant |
L |
0.9204140493009 |
L(r)(E,1)/r! |
Ω |
1.8408280986018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30544s1 122176f1 68724f1 |
Quadratic twists by: -4 8 -3 |