Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6120h |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-3236060160 = -1 · 210 · 37 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-3818] |
[a1,a2,a3,a4,a6] |
Generators |
[47:288:1] |
Generators of the group modulo torsion |
j |
-7086244/4335 |
j-invariant |
L |
3.5384708826905 |
L(r)(E,1)/r! |
Ω |
0.53205985053856 |
Real period |
R |
1.6626282170647 |
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 |
12240o1 48960dc1 2040o1 30600cd1 |
Quadratic twists by: -4 8 -3 5 |