Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bc |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
12994442496 = 28 · 36 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:22:1] [-7:63:1] |
Generators of the group modulo torsion |
j |
50176/29 |
j-invariant |
L |
10.892793776327 |
L(r)(E,1)/r! |
Ω |
1.0700604110487 |
Real period |
R |
0.84830053098112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11368b1 102312bp1 |
Quadratic twists by: -3 -7 |