Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016c |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
794112 |
Modular degree for the optimal curve |
Δ |
-1975003360873104384 = -1 · 210 · 34 · 478 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -4 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-795976,-281840992] |
[a1,a2,a3,a4,a6] |
Generators |
[6524:521772:1] |
Generators of the group modulo torsion |
j |
-2287396/81 |
j-invariant |
L |
4.4635589352679 |
L(r)(E,1)/r! |
Ω |
0.079752038725822 |
Real period |
R |
6.995995034368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032d1 53016b1 |
Quadratic twists by: -4 -47 |