Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936z |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
9884160 |
Modular degree for the optimal curve |
Δ |
5.3092140048561E+24 |
Discriminant |
Eigenvalues |
2- 0 1 7- 11- 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54304067,106931972418] |
[a1,a2,a3,a4,a6] |
Generators |
[80759:105250816:343] |
Generators of the group modulo torsion |
j |
4323752573967079063256601/1296194825404320579584 |
j-invariant |
L |
8.0997710956092 |
L(r)(E,1)/r! |
Ω |
0.070894065646661 |
Real period |
R |
1.9041958414056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242b1 |
Quadratic twists by: -4 |