Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ey |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1277952 |
Modular degree for the optimal curve |
Δ |
-1402997115579531264 = -1 · 218 · 38 · 138 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 2 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975468,375177296] |
[a1,a2,a3,a4,a6] |
Generators |
[796:10152:1] |
Generators of the group modulo torsion |
j |
-658489/9 |
j-invariant |
L |
5.1003094001625 |
L(r)(E,1)/r! |
Ω |
0.27082616997865 |
Real period |
R |
4.7081024375406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bj1 24336bj1 32448cb1 97344et1 |
Quadratic twists by: -4 8 -3 13 |