Atkin-Lehner |
2- 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22610q |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
4440242240 = 26 · 5 · 7 · 172 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4956,133840] |
[a1,a2,a3,a4,a6] |
j |
13462418343826369/4440242240 |
j-invariant |
L |
1.3515856575026 |
L(r)(E,1)/r! |
Ω |
1.3515856575026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113050m1 |
Quadratic twists by: 5 |