Atkin-Lehner |
3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065q |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-174195 = -1 · 32 · 5 · 72 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -3 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] [-2:37:8] |
Generators of the group modulo torsion |
j |
-2401/3555 |
j-invariant |
L |
7.1511966498823 |
L(r)(E,1)/r! |
Ω |
2.5876309602555 |
Real period |
R |
1.3818038120046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58065g1 |
Quadratic twists by: -7 |