Atkin-Lehner |
2- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7670i |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
11808 |
Modular degree for the optimal curve |
Δ |
-326729728000 = -1 · 218 · 53 · 132 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2065,45225] |
[a1,a2,a3,a4,a6] |
j |
-973861113148561/326729728000 |
j-invariant |
L |
2.7293724908491 |
L(r)(E,1)/r! |
Ω |
0.90979083028304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
61360u1 69030n1 38350a1 99710d1 |
Quadratic twists by: -4 -3 5 13 |