Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670ch |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
12418560 |
Modular degree for the optimal curve |
Δ |
-1.9479052650891E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26554571,-56790880749] |
[a1,a2,a3,a4,a6] |
Generators |
[124478:14464301:8] |
Generators of the group modulo torsion |
j |
-17601648414020685090721/1655692156405120050 |
j-invariant |
L |
11.913623500075 |
L(r)(E,1)/r! |
Ω |
0.033076363640707 |
Real period |
R |
2.7286773257282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810q1 |
Quadratic twists by: -7 |