Atkin-Lehner |
7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62699a |
Isogeny class |
Conductor |
62699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
581760 |
Modular degree for the optimal curve |
Δ |
-8314847582956733 = -1 · 76 · 132 · 535 |
Discriminant |
Eigenvalues |
1 1 -4 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136088,19803487] |
[a1,a2,a3,a4,a6] |
Generators |
[121:2200:1] |
Generators of the group modulo torsion |
j |
-1649270590385669329/49200281555957 |
j-invariant |
L |
4.5735387594277 |
L(r)(E,1)/r! |
Ω |
0.41235804059297 |
Real period |
R |
5.5455918272744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62699f1 |
Quadratic twists by: 13 |