Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bl |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4535709696 = -1 · 212 · 36 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,3040] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:40:1] [-3:49:1] |
Generators of the group modulo torsion |
j |
314432/1519 |
j-invariant |
L |
10.154362235927 |
L(r)(E,1)/r! |
Ω |
0.98880616039482 |
Real period |
R |
2.5673288263229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992dg1 62496i1 13888d1 |
Quadratic twists by: -4 8 -3 |