Atkin-Lehner |
2+ 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966i |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-53902050048 = -1 · 28 · 36 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,882,-5036] |
[a1,a2,a3,a4,a6] |
j |
104021936927/73939712 |
j-invariant |
L |
1.2619426035895 |
L(r)(E,1)/r! |
Ω |
0.63097130181341 |
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 |
4774i1 |
Quadratic twists by: -3 |