Atkin-Lehner |
2+ 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850f |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
39278250000 = 24 · 33 · 56 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9192,-336784] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:39:1] [902:1349:8] |
Generators of the group modulo torsion |
j |
203608800387/93104 |
j-invariant |
L |
9.4410359783757 |
L(r)(E,1)/r! |
Ω |
0.48759220593779 |
Real period |
R |
4.840641350808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850dj1 4554r1 |
Quadratic twists by: -3 5 |