Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3520z |
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 |
[-4:3:1] |
Generators of the group modulo torsion |
j |
1048576/605 |
j-invariant |
L |
4.4740957527833 |
L(r)(E,1)/r! |
Ω |
2.4229859187344 |
Real period |
R |
1.8465215658869 |
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 |
3520c1 880h1 31680dd1 17600cm1 |
Quadratic twists by: -4 8 -3 5 |