Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350dd |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
87091200 |
Modular degree for the optimal curve |
Δ |
1.378579888916E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1575570980,23399767000647] |
[a1,a2,a3,a4,a6] |
Generators |
[17789:991605:1] |
Generators of the group modulo torsion |
j |
1025306807522344388849109483/32677449218750000000000 |
j-invariant |
L |
9.8431320004888 |
L(r)(E,1)/r! |
Ω |
0.039472245994522 |
Real period |
R |
4.1561404930282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350a3 18270k1 |
Quadratic twists by: -3 5 |