Atkin-Lehner |
3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18759a |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-16113314102786667 = -1 · 35 · 1311 · 37 |
Discriminant |
Eigenvalues |
0 3+ 0 -4 -3 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-56333,8005259] |
[a1,a2,a3,a4,a6] |
Generators |
[-838:28557:8] |
Generators of the group modulo torsion |
j |
-4096000000000/3338295363 |
j-invariant |
L |
2.133900772432 |
L(r)(E,1)/r! |
Ω |
0.35914512987021 |
Real period |
R |
1.4854028322778 |
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 |
56277d1 1443a1 |
Quadratic twists by: -3 13 |