Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850ea |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-28011369375000 = -1 · 23 · 311 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23630,1426997] |
[a1,a2,a3,a4,a6] |
Generators |
[99:175:1] |
Generators of the group modulo torsion |
j |
-128100283921/2459160 |
j-invariant |
L |
12.364377001251 |
L(r)(E,1)/r! |
Ω |
0.66570927627557 |
Real period |
R |
0.77388492480113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950bi1 22770h1 |
Quadratic twists by: -3 5 |