Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328p |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1062914752512 = -1 · 219 · 39 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -3 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11820,-497104] |
[a1,a2,a3,a4,a6] |
Generators |
[469:9855:1] |
Generators of the group modulo torsion |
j |
-955671625/5562 |
j-invariant |
L |
4.7398175927059 |
L(r)(E,1)/r! |
Ω |
0.22885694176031 |
Real period |
R |
5.1777079124913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328bd1 1854h1 19776e1 |
Quadratic twists by: -4 8 -3 |