Atkin-Lehner |
2- 3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128592h |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-2.046772923875E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 2 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1038915,-799947198] |
[a1,a2,a3,a4,a6] |
j |
-41531372728322625/68546011092992 |
j-invariant |
L |
0.84895973293883 |
L(r)(E,1)/r! |
Ω |
0.0707467234999 |
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 |
16074c1 14288g1 |
Quadratic twists by: -4 -3 |