Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760by |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-18591945953996800 = -1 · 212 · 52 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71027,9804146] |
[a1,a2,a3,a4,a6] |
j |
-5461074081/2562175 |
j-invariant |
L |
2.8914691426876 |
L(r)(E,1)/r! |
Ω |
0.36143364307167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235g1 6160n1 |
Quadratic twists by: -4 -11 |