Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025cl |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
3464743359375 = 36 · 58 · 233 |
Discriminant |
Eigenvalues |
1 3- 5- -5 -5 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-320742,69997041] |
[a1,a2,a3,a4,a6] |
Generators |
[144:5103:1] [2502:2349:8] |
Generators of the group modulo torsion |
j |
1053224375 |
j-invariant |
L |
10.885552519228 |
L(r)(E,1)/r! |
Ω |
0.6633217840104 |
Real period |
R |
1.3675555339701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13225i1 119025bl1 119025ck1 |
Quadratic twists by: -3 5 -23 |