Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498k |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
5318784 |
Modular degree for the optimal curve |
Δ |
-3.2814624727031E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6526052,6475252322] |
[a1,a2,a3,a4,a6] |
Generators |
[780:42733:1] |
Generators of the group modulo torsion |
j |
-11980221891814513/127896039936 |
j-invariant |
L |
7.4349450386501 |
L(r)(E,1)/r! |
Ω |
0.17210460214504 |
Real period |
R |
0.80000282192009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554n1 |
Quadratic twists by: 37 |