Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bq |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1094992880275 = -1 · 52 · 72 · 197 |
Discriminant |
Eigenvalues |
0 -2 5- 7- -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-99395,12028356] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:4512:1] [158:541:1] |
Generators of the group modulo torsion |
j |
-47109013504/475 |
j-invariant |
L |
6.0846531117345 |
L(r)(E,1)/r! |
Ω |
0.78793223087761 |
Real period |
R |
0.96528814176976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445d1 4655p1 |
Quadratic twists by: -7 -19 |