Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560r |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4294550480901120 = 210 · 34 · 5 · 114 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42560,-1230780] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:990:1] |
Generators of the group modulo torsion |
j |
8326046223048964/4193896954005 |
j-invariant |
L |
9.8476697189044 |
L(r)(E,1)/r! |
Ω |
0.35042437199246 |
Real period |
R |
1.7563828506102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38280e3 |
Quadratic twists by: -4 |