Atkin-Lehner |
5- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
59995c |
Isogeny class |
Conductor |
59995 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-59995 = -1 · 5 · 132 · 71 |
Discriminant |
Eigenvalues |
1 0 5- -1 2 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[48:306:1] |
Generators of the group modulo torsion |
j |
351/355 |
j-invariant |
L |
6.3714878182555 |
L(r)(E,1)/r! |
Ω |
1.6358535736032 |
Real period |
R |
3.8949010601916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59995a1 |
Quadratic twists by: 13 |