Atkin-Lehner |
3- 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115275v |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
20308573125 = 36 · 54 · 292 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- 1 3 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-933,-8881] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:43:1] |
Generators of the group modulo torsion |
j |
143864627200/32493717 |
j-invariant |
L |
7.4814752845447 |
L(r)(E,1)/r! |
Ω |
0.8777336593124 |
Real period |
R |
0.71030234124041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115275c1 |
Quadratic twists by: 5 |