Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23712r |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
deg |
4849152 |
Modular degree for the optimal curve |
Δ |
-1.611491095486E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-397171078,-3052842025876] |
[a1,a2,a3,a4,a6] |
Generators |
[26228:2138526:1] |
Generators of the group modulo torsion |
j |
-108262134693620266564752184000/251795483669687373402363 |
j-invariant |
L |
6.5739535865602 |
L(r)(E,1)/r! |
Ω |
0.016906925511703 |
Real period |
R |
2.5248830884593 |
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 |
23712c1 47424a2 71136n1 |
Quadratic twists by: -4 8 -3 |