Atkin-Lehner |
2+ 3+ 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130f |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3307200 |
Modular degree for the optimal curve |
Δ |
-1.3256813136937E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 0 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1156749,-509605147] |
[a1,a2,a3,a4,a6] |
Generators |
[103101974126239548060820793:3718634564379913255798567496:50763727272294639755621] |
Generators of the group modulo torsion |
j |
-8696610690294770307/673515883601920 |
j-invariant |
L |
5.9556048107142 |
L(r)(E,1)/r! |
Ω |
0.07246593903634 |
Real period |
R |
41.092442117721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130bf1 |
Quadratic twists by: -3 |