Atkin-Lehner |
3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975bp |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
50209875 = 36 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 -3 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185,-858] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] |
Generators of the group modulo torsion |
j |
7645373/551 |
j-invariant |
L |
3.4545255370831 |
L(r)(E,1)/r! |
Ω |
1.3009488510799 |
Real period |
R |
1.3276946095633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999516302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13775g1 123975bn1 |
Quadratic twists by: -3 5 |