Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23408j |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-212052439984 = -1 · 24 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8797,321300] |
[a1,a2,a3,a4,a6] |
Generators |
[522:1155:8] |
Generators of the group modulo torsion |
j |
-4706053639241728/13253277499 |
j-invariant |
L |
8.8243824430376 |
L(r)(E,1)/r! |
Ω |
1.0026849890546 |
Real period |
R |
2.200188129713 |
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 |
5852a1 93632x1 |
Quadratic twists by: -4 8 |