Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bp |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2212560 |
Modular degree for the optimal curve |
Δ |
-278392598916796875 = -1 · 3 · 58 · 710 · 292 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,100042,22239818] |
[a1,a2,a3,a4,a6] |
j |
1003520/2523 |
j-invariant |
L |
1.295473979602 |
L(r)(E,1)/r! |
Ω |
0.21591233332215 |
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 |
106575cj1 106575co1 |
Quadratic twists by: 5 -7 |