Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860h |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
10757940480 = 28 · 39 · 5 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,-124] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:54:1] |
Generators of the group modulo torsion |
j |
99672064/57645 |
j-invariant |
L |
7.8831966668923 |
L(r)(E,1)/r! |
Ω |
1.0784013175244 |
Real period |
R |
0.6091730832036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25620a1 |
Quadratic twists by: -3 |