Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cv |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-387174642393840 = -1 · 24 · 3 · 5 · 78 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33811,-2576239] |
[a1,a2,a3,a4,a6] |
Generators |
[99484:1140301:343] |
Generators of the group modulo torsion |
j |
-36333758230561/3290930160 |
j-invariant |
L |
9.816847500188 |
L(r)(E,1)/r! |
Ω |
0.17513362746497 |
Real period |
R |
7.0066837265102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430by1 4830w1 |
Quadratic twists by: -3 -7 |