Atkin-Lehner |
7- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
86681g |
Isogeny class |
Conductor |
86681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1636992 |
Modular degree for the optimal curve |
Δ |
-7703141241262747 = -1 · 79 · 292 · 613 |
Discriminant |
Eigenvalues |
-2 2 4 7- -6 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35786,4973884] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:1957:1] |
Generators of the group modulo torsion |
j |
-125600960512/190891021 |
j-invariant |
L |
6.2528955578744 |
L(r)(E,1)/r! |
Ω |
0.3741706978379 |
Real period |
R |
4.1778362057073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86681j1 |
Quadratic twists by: -7 |