Atkin-Lehner |
2- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216i |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-860687958016 = -1 · 224 · 292 · 61 |
Discriminant |
Eigenvalues |
2- 0 1 1 5 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1772,53072] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:256:1] |
Generators of the group modulo torsion |
j |
-2347334289/3283264 |
j-invariant |
L |
7.6405217683151 |
L(r)(E,1)/r! |
Ω |
0.80085461796613 |
Real period |
R |
1.1925575465415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113216c1 28304d1 |
Quadratic twists by: -4 8 |