Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570f |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-7018905600 = -1 · 218 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2557,-51011] |
[a1,a2,a3,a4,a6] |
Generators |
[73:361:1] |
Generators of the group modulo torsion |
j |
-1850040570997081/7018905600 |
j-invariant |
L |
2.1995951766018 |
L(r)(E,1)/r! |
Ω |
0.33559550857856 |
Real period |
R |
3.2771522865702 |
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 |
28560ed1 114240dc1 10710w1 17850bw1 |
Quadratic twists by: -4 8 -3 5 |