Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810da |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
9819267897600 = 28 · 34 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12006,-484380] |
[a1,a2,a3,a4,a6] |
Generators |
[228:-3054:1] |
Generators of the group modulo torsion |
j |
1626794704081/83462400 |
j-invariant |
L |
9.1296541068672 |
L(r)(E,1)/r! |
Ω |
0.45754343950893 |
Real period |
R |
0.31177552359379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430ci1 4830z1 |
Quadratic twists by: -3 -7 |