Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950ed |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-191901455720956800 = -1 · 27 · 323 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-857210,-305989063] |
[a1,a2,a3,a4,a6] |
j |
-3822235013133286465/10529572330368 |
j-invariant |
L |
4.3925241614579 |
L(r)(E,1)/r! |
Ω |
0.078437931455273 |
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 |
13650bb1 40950cf1 |
Quadratic twists by: -3 5 |