Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658v |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63504 |
Modular degree for the optimal curve |
Δ |
-24966192762 = -1 · 2 · 39 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,542,-5623] |
[a1,a2,a3,a4,a6] |
Generators |
[19527430:-10438299:2197000] |
Generators of the group modulo torsion |
j |
9522140375/13502538 |
j-invariant |
L |
8.2959850135458 |
L(r)(E,1)/r! |
Ω |
0.63432480821921 |
Real period |
R |
13.078449565767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658r1 |
Quadratic twists by: -43 |