Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170h |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1941760 = 28 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-153,761] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
393671672289/1941760 |
j-invariant |
L |
5.8438007021062 |
L(r)(E,1)/r! |
Ω |
2.6413542022765 |
Real period |
R |
1.1062129980655 |
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 |
121360m1 75850c1 |
Quadratic twists by: -4 5 |