Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520cv |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-68496840000 = -1 · 26 · 310 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,-12796] |
[a1,a2,a3,a4,a6] |
j |
-82881856/1468125 |
j-invariant |
L |
1.8891942547067 |
L(r)(E,1)/r! |
Ω |
0.4722985703725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cu1 41760a2 27840c1 |
Quadratic twists by: -4 8 -3 |