Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562bg |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-336697634196 = -1 · 22 · 312 · 7 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,436,27587] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:163:1] |
Generators of the group modulo torsion |
j |
12600539783/461862324 |
j-invariant |
L |
7.0399639666631 |
L(r)(E,1)/r! |
Ω |
0.72667413120523 |
Real period |
R |
2.4219810725156 |
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 |
7854j1 |
Quadratic twists by: -3 |