Atkin-Lehner |
2+ 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526k |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11808 |
Modular degree for the optimal curve |
Δ |
-390104 = -1 · 23 · 112 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11- 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28,72] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-20469537/3224 |
j-invariant |
L |
5.7994886760939 |
L(r)(E,1)/r! |
Ω |
2.897606003243 |
Real period |
R |
2.0014759371844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526s1 |
Quadratic twists by: -11 |