Atkin-Lehner |
2- 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560u |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-124476476129280 = -1 · 215 · 39 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1704,535536] |
[a1,a2,a3,a4,a6] |
j |
133511182631/30389764680 |
j-invariant |
L |
1.817144811427 |
L(r)(E,1)/r! |
Ω |
0.45428619061029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570h1 |
Quadratic twists by: -4 |