Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19942b |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
115440 |
Modular degree for the optimal curve |
Δ |
5361086711944288 = 25 · 138 · 593 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 0 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47831,-1953638] |
[a1,a2,a3,a4,a6] |
j |
14835159625/6572128 |
j-invariant |
L |
0.33633686955501 |
L(r)(E,1)/r! |
Ω |
0.33633686955502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19942f1 |
Quadratic twists by: 13 |