Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800l |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-18200000000 = -1 · 29 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-6488] |
[a1,a2,a3,a4,a6] |
j |
-8/2275 |
j-invariant |
L |
1.1218770925925 |
L(r)(E,1)/r! |
Ω |
0.56093855406598 |
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 |
72800c1 14560p1 |
Quadratic twists by: -4 5 |