Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3520c |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
619520 = 210 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
1048576/605 |
j-invariant |
L |
2.2360379856567 |
L(r)(E,1)/r! |
Ω |
2.4582282008624 |
Real period |
R |
0.90961367413827 |
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 |
3520z1 220b1 31680bp1 17600g1 |
Quadratic twists by: -4 8 -3 5 |