Atkin-Lehner |
2- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
61100h |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-763750000 = -1 · 24 · 57 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -4 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-425,3625] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:1:1] [15:25:1] |
Generators of the group modulo torsion |
j |
-33958656/3055 |
j-invariant |
L |
8.8869195350772 |
L(r)(E,1)/r! |
Ω |
1.5616432388797 |
Real period |
R |
0.4742290745318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12220e1 |
Quadratic twists by: 5 |