Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bb |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-13298043912192 = -1 · 216 · 39 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6939,283338] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:494:1] |
Generators of the group modulo torsion |
j |
-458314011/164944 |
j-invariant |
L |
9.8178451537174 |
L(r)(E,1)/r! |
Ω |
0.66657872563884 |
Real period |
R |
3.6821776589739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274n1 114192bc1 |
Quadratic twists by: -4 -3 |