Atkin-Lehner |
2+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344d |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
43814369984 = 26 · 76 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7644,-254506] |
[a1,a2,a3,a4,a6] |
Generators |
[494482395:-12118826636:804357] |
Generators of the group modulo torsion |
j |
771902748175168/684599531 |
j-invariant |
L |
7.9475275034854 |
L(r)(E,1)/r! |
Ω |
0.51060818719913 |
Real period |
R |
15.564825758854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344cd1 56672u2 |
Quadratic twists by: -4 8 |