Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18759j |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
1692515749041 = 36 · 137 · 37 |
Discriminant |
Eigenvalues |
1 3- 2 2 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3215,-31939] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:893:8] |
Generators of the group modulo torsion |
j |
761048497/350649 |
j-invariant |
L |
8.9120104770874 |
L(r)(E,1)/r! |
Ω |
0.6625795544823 |
Real period |
R |
4.4834920409674 |
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 |
56277m1 1443e1 |
Quadratic twists by: -3 13 |