Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bt |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10678935122496 = -1 · 26 · 310 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4071,186320] |
[a1,a2,a3,a4,a6] |
Generators |
[404:8030:1] |
Generators of the group modulo torsion |
j |
-159926162752/228886641 |
j-invariant |
L |
3.9340921382073 |
L(r)(E,1)/r! |
Ω |
0.64876940164646 |
Real period |
R |
6.0639298466039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23616bs1 11808h4 7872y1 |
Quadratic twists by: -4 8 -3 |