Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cp |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
22793551872 = 217 · 3 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -1 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-784,-4588] |
[a1,a2,a3,a4,a6] |
Generators |
[34:96:1] |
Generators of the group modulo torsion |
j |
77086633/32928 |
j-invariant |
L |
6.1162382340759 |
L(r)(E,1)/r! |
Ω |
0.93754172828528 |
Real period |
R |
1.6309242696796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098v1 56784da1 |
Quadratic twists by: -4 13 |