Atkin-Lehner |
2- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57434h |
Isogeny class |
Conductor |
57434 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
196420 |
Modular degree for the optimal curve |
Δ |
-17936614307456 = -1 · 27 · 13 · 476 |
Discriminant |
Eigenvalues |
2- -3 1 1 2 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5937,-267807] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
1.8420415094737 |
L(r)(E,1)/r! |
Ω |
0.26314878717432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26b1 |
Quadratic twists by: -47 |