Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bc |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-18241486848 = -1 · 216 · 33 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-771,-10494] |
[a1,a2,a3,a4,a6] |
Generators |
[801:22656:1] |
Generators of the group modulo torsion |
j |
-458314011/164944 |
j-invariant |
L |
7.2581448462565 |
L(r)(E,1)/r! |
Ω |
0.44497904361197 |
Real period |
R |
4.0778014695197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274b1 114192bb1 |
Quadratic twists by: -4 -3 |