Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dk |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-243002613047040 = -1 · 28 · 37 · 5 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10867,-612939] |
[a1,a2,a3,a4,a6] |
j |
109902239/188160 |
j-invariant |
L |
4.6719168794558 |
L(r)(E,1)/r! |
Ω |
0.29199480243916 |
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 |
25410n1 630d1 |
Quadratic twists by: -3 -11 |