Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680v |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
776385132969600000 = 210 · 312 · 55 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9718816,-11665032016] |
[a1,a2,a3,a4,a6] |
j |
289047861148528498972/2210462409375 |
j-invariant |
L |
3.0782147207241 |
L(r)(E,1)/r! |
Ω |
0.085505964514785 |
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 |
129360i1 64680n1 |
Quadratic twists by: -4 -7 |