Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cm |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-102854408466796875 = -1 · 32 · 510 · 79 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 6 -6 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,51042,14794994] |
[a1,a2,a3,a4,a6] |
j |
12800000/89523 |
j-invariant |
L |
1.9526614146296 |
L(r)(E,1)/r! |
Ω |
0.24408260369912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575bn1 15225c1 |
Quadratic twists by: 5 -7 |