Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372d |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6604416 |
Modular degree for the optimal curve |
Δ |
-1.1408853002775E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 1 13- 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1758332,-5216190552] |
[a1,a2,a3,a4,a6] |
Generators |
[946469617000371372561764:65215346134999958355325491:179589811652372137024] |
Generators of the group modulo torsion |
j |
-38416/729 |
j-invariant |
L |
7.5508580887901 |
L(r)(E,1)/r! |
Ω |
0.054920663744983 |
Real period |
R |
34.371662566987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372bx1 99372e1 |
Quadratic twists by: -7 13 |