Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488br |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-53560704575766528 = -1 · 215 · 313 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5691747,5226578530] |
[a1,a2,a3,a4,a6] |
Generators |
[929:27216:1] [-2473:64638:1] |
Generators of the group modulo torsion |
j |
-6829249786786129249/17937371592 |
j-invariant |
L |
8.0969593110599 |
L(r)(E,1)/r! |
Ω |
0.30735644764788 |
Real period |
R |
0.32929841609868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686e1 20496y1 |
Quadratic twists by: -4 -3 |