Atkin-Lehner |
2+ 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560f |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-328631043840000 = -1 · 211 · 3 · 54 · 112 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8480,-821600] |
[a1,a2,a3,a4,a6] |
Generators |
[690:18250:1] |
Generators of the group modulo torsion |
j |
32925327359038/160464376875 |
j-invariant |
L |
4.7110734060315 |
L(r)(E,1)/r! |
Ω |
0.27282829259148 |
Real period |
R |
4.3168849537523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002223 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38280t3 |
Quadratic twists by: -4 |