Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cp |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
70963200 |
Modular degree for the optimal curve |
Δ |
-4.9160408280382E+26 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 11- 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163514462,-1336244550627] |
[a1,a2,a3,a4,a6] |
Generators |
[48843:10329185:1] |
Generators of the group modulo torsion |
j |
-374376499897742059249/380655265638892464 |
j-invariant |
L |
9.6551382673142 |
L(r)(E,1)/r! |
Ω |
0.02028156448118 |
Real period |
R |
4.9589052681124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766e1 8118f1 |
Quadratic twists by: -3 -11 |