Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50336y |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-241124588317184 = -1 · 29 · 118 · 133 |
Discriminant |
Eigenvalues |
2- -1 3 -1 11- 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17464,1166552] |
[a1,a2,a3,a4,a6] |
j |
-649461896/265837 |
j-invariant |
L |
3.1286199891855 |
L(r)(E,1)/r! |
Ω |
0.52143666493263 |
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 |
50336l1 100672l1 4576b1 |
Quadratic twists by: -4 8 -11 |