Atkin-Lehner |
2- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72688c |
Isogeny class |
Conductor |
72688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-20540991471616 = -1 · 223 · 73 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 11- 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6133,115642] |
[a1,a2,a3,a4,a6] |
j |
6228488375199/5014890496 |
j-invariant |
L |
1.7604147083502 |
L(r)(E,1)/r! |
Ω |
0.44010366963874 |
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 |
9086f1 |
Quadratic twists by: -4 |