Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bp |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
1528783165211904 = 28 · 36 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28812,-67228] |
[a1,a2,a3,a4,a6] |
Generators |
[1192:40734:1] |
Generators of the group modulo torsion |
j |
50176/29 |
j-invariant |
L |
8.5808842998001 |
L(r)(E,1)/r! |
Ω |
0.40065059315705 |
Real period |
R |
5.3543439356523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11368f1 102312bc1 |
Quadratic twists by: -3 -7 |