Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7920n |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
571594320 = 24 · 310 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1182,15599] |
[a1,a2,a3,a4,a6] |
Generators |
[55:342:1] |
Generators of the group modulo torsion |
j |
15657723904/49005 |
j-invariant |
L |
4.6462309588911 |
L(r)(E,1)/r! |
Ω |
1.64247858459 |
Real period |
R |
2.8287924131754 |
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 |
3960k1 31680cx1 2640d1 39600o1 |
Quadratic twists by: -4 8 -3 5 |