Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cv |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
134486466048900 = 22 · 32 · 52 · 710 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-552231,-157998555] |
[a1,a2,a3,a4,a6] |
Generators |
[413470638:14482097657:250047] |
Generators of the group modulo torsion |
j |
158306179791523681/1143116100 |
j-invariant |
L |
9.816847500188 |
L(r)(E,1)/r! |
Ω |
0.17513362746497 |
Real period |
R |
14.01336745302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101430by2 4830w2 |
Quadratic twists by: -3 -7 |