Atkin-Lehner |
13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86411j |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
255744 |
Modular degree for the optimal curve |
Δ |
-35457775072603 = -1 · 13 · 179 · 23 |
Discriminant |
Eigenvalues |
-2 2 0 2 0 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5298,-320900] |
[a1,a2,a3,a4,a6] |
Generators |
[127336:261236:1331] |
Generators of the group modulo torsion |
j |
-681472000/1468987 |
j-invariant |
L |
5.1291161880462 |
L(r)(E,1)/r! |
Ω |
0.26214837678388 |
Real period |
R |
9.7828494106955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083e1 |
Quadratic twists by: 17 |