Atkin-Lehner |
3+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065g |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-20493867555 = -1 · 32 · 5 · 78 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -3 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-6910] |
[a1,a2,a3,a4,a6] |
Generators |
[20:14:1] |
Generators of the group modulo torsion |
j |
-2401/3555 |
j-invariant |
L |
3.0904651058196 |
L(r)(E,1)/r! |
Ω |
0.54889597703442 |
Real period |
R |
0.93838821774968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58065q1 |
Quadratic twists by: -7 |