Atkin-Lehner |
2+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7670a |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-259246000 = -1 · 24 · 53 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 3 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120419,16073742] |
[a1,a2,a3,a4,a6] |
j |
-193109472180150844969/259246000 |
j-invariant |
L |
0.74335801679815 |
L(r)(E,1)/r! |
Ω |
1.1150370251972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61360l1 69030bq1 38350r1 99710bc1 |
Quadratic twists by: -4 -3 5 13 |