Atkin-Lehner |
5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22385c |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
327738785 = 5 · 116 · 37 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-426,3235] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:61:1] [35:160:1] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
3.7619470097861 |
L(r)(E,1)/r! |
Ω |
1.6999188560149 |
Real period |
R |
2.2130156368784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111925o1 185c1 |
Quadratic twists by: 5 -11 |