Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bv |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-253865244552192 = -1 · 210 · 311 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11280,-894584] |
[a1,a2,a3,a4,a6] |
Generators |
[225:2821:1] |
Generators of the group modulo torsion |
j |
-212629504000/340075827 |
j-invariant |
L |
4.9068420801272 |
L(r)(E,1)/r! |
Ω |
0.21940595687179 |
Real period |
R |
2.7955269253585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416gh1 3276e1 17472x1 |
Quadratic twists by: -4 8 -3 |