Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dc |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-107915899666432 = -1 · 215 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 2 0 2 11- 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8927,-383007] |
[a1,a2,a3,a4,a6] |
Generators |
[1299:10648:27] |
Generators of the group modulo torsion |
j |
14205451000/19487171 |
j-invariant |
L |
11.808342047864 |
L(r)(E,1)/r! |
Ω |
0.31637409915824 |
Real period |
R |
1.332999458579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999720927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cj1 59488f1 118976cd1 |
Quadratic twists by: -4 8 13 |