Atkin-Lehner |
5- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96425p |
Isogeny class |
Conductor |
96425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-165368875 = -1 · 53 · 74 · 19 · 29 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- 2 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-138,834] |
[a1,a2,a3,a4,a6] |
Generators |
[8:17:1] [-6:38:1] |
Generators of the group modulo torsion |
j |
-2342039552/1322951 |
j-invariant |
L |
4.696313233241 |
L(r)(E,1)/r! |
Ω |
1.6837985650068 |
Real period |
R |
0.34863977580881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96425n1 |
Quadratic twists by: 5 |