Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
105056g |
Isogeny class |
Conductor |
105056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-77520247533568 = -1 · 212 · 710 · 67 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -2 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12413,676171] |
[a1,a2,a3,a4,a6] |
Generators |
[121:980:1] |
Generators of the group modulo torsion |
j |
-438976000/160867 |
j-invariant |
L |
4.5994177569261 |
L(r)(E,1)/r! |
Ω |
0.57517642168035 |
Real period |
R |
1.9991334730719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105056k1 15008b1 |
Quadratic twists by: -4 -7 |