Atkin-Lehner |
2- 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890ce |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
121100313600 = 210 · 38 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3092,-63241] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:61:1] |
Generators of the group modulo torsion |
j |
4483146738169/166118400 |
j-invariant |
L |
11.362572014939 |
L(r)(E,1)/r! |
Ω |
0.64171128642225 |
Real period |
R |
0.885333658228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630c1 |
Quadratic twists by: -3 |