Atkin-Lehner |
5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22385a |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-4438541784846125 = -1 · 53 · 1110 · 372 |
Discriminant |
Eigenvalues |
1 1 5+ 1 11- 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21656,2963167] |
[a1,a2,a3,a4,a6] |
j |
43307231/171125 |
j-invariant |
L |
2.4871248084478 |
L(r)(E,1)/r! |
Ω |
0.31089060105598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925p1 22385b1 |
Quadratic twists by: 5 -11 |