Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bf |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
286848 |
Modular degree for the optimal curve |
Δ |
4312606375000 = 23 · 56 · 72 · 113 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4131,19753] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:2867:8] [-11:258:1] |
Generators of the group modulo torsion |
j |
159110847012481/88012375000 |
j-invariant |
L |
13.561340643316 |
L(r)(E,1)/r! |
Ω |
0.67459730358306 |
Real period |
R |
0.55841300389903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970bl1 |
Quadratic twists by: -7 |