Atkin-Lehner |
2- 3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
68328i |
Isogeny class |
Conductor |
68328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
363520 |
Modular degree for the optimal curve |
Δ |
-41831770346496 = -1 · 210 · 316 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 2 2 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178779,29096966] |
[a1,a2,a3,a4,a6] |
j |
-846536597603428/56037501 |
j-invariant |
L |
2.4433735119094 |
L(r)(E,1)/r! |
Ω |
0.61084338156966 |
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 |
22776c1 |
Quadratic twists by: -3 |