Atkin-Lehner |
2- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320s |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-1381120 = -1 · 28 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 0 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] [7:22:1] |
Generators of the group modulo torsion |
j |
2809856/5395 |
j-invariant |
L |
7.0937335152489 |
L(r)(E,1)/r! |
Ω |
1.4123818664646 |
Real period |
R |
2.5112661395928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21580a1 |
Quadratic twists by: -4 |