Atkin-Lehner |
2+ 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88102d |
Isogeny class |
Conductor |
88102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
1015780995404 = 22 · 710 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 0 1 7- -2 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6869,215417] |
[a1,a2,a3,a4,a6] |
Generators |
[58:69:1] |
Generators of the group modulo torsion |
j |
304685358489/8633996 |
j-invariant |
L |
5.5324612820444 |
L(r)(E,1)/r! |
Ω |
0.87368638029735 |
Real period |
R |
1.5830798677491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586c1 |
Quadratic twists by: -7 |