Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23392c |
Isogeny class |
Conductor |
23392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
6877642997312 = 26 · 17 · 436 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26525,1657972] |
[a1,a2,a3,a4,a6] |
Generators |
[199:2064:1] |
Generators of the group modulo torsion |
j |
32248529487000000/107463171833 |
j-invariant |
L |
3.7936718387862 |
L(r)(E,1)/r! |
Ω |
0.75090598134881 |
Real period |
R |
1.6840420918261 |
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 |
23392a1 46784a2 |
Quadratic twists by: -4 8 |