Atkin-Lehner |
2- 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704w |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
125939088 = 24 · 32 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11+ 4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-962,-11157] |
[a1,a2,a3,a4,a6] |
Generators |
[41:129:1] |
Generators of the group modulo torsion |
j |
6159994394368/7871193 |
j-invariant |
L |
5.2128377020187 |
L(r)(E,1)/r! |
Ω |
0.85723816039133 |
Real period |
R |
1.0134946433943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676g1 90816co1 68112ch1 |
Quadratic twists by: -4 8 -3 |