Atkin-Lehner |
3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635g |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
30728832770625 = 3 · 54 · 117 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50822,-4423041] |
[a1,a2,a3,a4,a6] |
Generators |
[-1066:1113:8] [4734:102903:8] |
Generators of the group modulo torsion |
j |
8194759433281/17345625 |
j-invariant |
L |
9.9693648389029 |
L(r)(E,1)/r! |
Ω |
0.31800996838062 |
Real period |
R |
3.9186526485583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785b1 |
Quadratic twists by: -11 |