Atkin-Lehner |
2+ 11+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526c |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
432960 |
Modular degree for the optimal curve |
Δ |
-58915681007326 = -1 · 2 · 119 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -2 1 -5 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10288,544740] |
[a1,a2,a3,a4,a6] |
Generators |
[10:660:1] |
Generators of the group modulo torsion |
j |
-51064811/24986 |
j-invariant |
L |
2.7118657847355 |
L(r)(E,1)/r! |
Ω |
0.58303063588871 |
Real period |
R |
1.1628316001463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526q1 |
Quadratic twists by: -11 |