Atkin-Lehner |
2+ 3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670b |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
7068000 = 25 · 3 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
12633057289/7068000 |
j-invariant |
L |
4.272319576853 |
L(r)(E,1)/r! |
Ω |
1.9432853268564 |
Real period |
R |
2.1985034919007 |
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 |
53010bs1 88350bx1 |
Quadratic twists by: -3 5 |