Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bj |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
32869498304160000 = 28 · 312 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-845409207,-9461251202506] |
[a1,a2,a3,a4,a6] |
Generators |
[-22070568091234400898593818081985082002377490867:-2048306495518192698289171622023089101647720:1314741909988709081503099752328609651569917] |
Generators of the group modulo torsion |
j |
358061097267989271289240144/176126855625 |
j-invariant |
L |
7.5442022015047 |
L(r)(E,1)/r! |
Ω |
0.027998374055409 |
Real period |
R |
67.362859692206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960bc1 38640d1 |
Quadratic twists by: -4 -3 |