Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14790k |
Isogeny class |
Conductor |
14790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1508580 = 22 · 32 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39,-74] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
6321363049/1508580 |
j-invariant |
L |
4.5576959915084 |
L(r)(E,1)/r! |
Ω |
1.949527946053 |
Real period |
R |
1.1689229694645 |
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 |
118320bj1 44370bm1 73950bz1 |
Quadratic twists by: -4 -3 5 |