Atkin-Lehner |
2- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102544k |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-2999049404416 = -1 · 214 · 135 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 2 -3 -2 1 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41072,3218624] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1014:1] |
Generators of the group modulo torsion |
j |
-1870733365059313/732189796 |
j-invariant |
L |
7.5016828253788 |
L(r)(E,1)/r! |
Ω |
0.78745807859628 |
Real period |
R |
0.95264535806215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12818f1 |
Quadratic twists by: -4 |