Atkin-Lehner |
2+ 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56392b |
Isogeny class |
Conductor |
56392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-285005168 = -1 · 24 · 72 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -5 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,132,-611] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] [9:35:1] |
Generators of the group modulo torsion |
j |
15777248000/17812823 |
j-invariant |
L |
7.5957022815182 |
L(r)(E,1)/r! |
Ω |
0.93458515991081 |
Real period |
R |
0.67727930773851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112784c1 |
Quadratic twists by: -4 |