Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975u |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-30125925 = -1 · 37 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -2 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63,166] |
[a1,a2,a3,a4,a6] |
Generators |
[18:74:1] |
Generators of the group modulo torsion |
j |
1503815/1653 |
j-invariant |
L |
8.7182218481488 |
L(r)(E,1)/r! |
Ω |
1.3887100698839 |
Real period |
R |
3.1389639817726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41325b1 123975bj1 |
Quadratic twists by: -3 5 |