Atkin-Lehner |
5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13775i |
Isogeny class |
Conductor |
13775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
1076171875 = 59 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 1 5- -1 3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-513,4142] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:74:1] |
Generators of the group modulo torsion |
j |
7645373/551 |
j-invariant |
L |
3.6458964199396 |
L(r)(E,1)/r! |
Ω |
1.5206811489999 |
Real period |
R |
1.1987708344834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975bn1 13775g1 |
Quadratic twists by: -3 5 |