Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230di |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
-87509869579440000 = -1 · 27 · 36 · 54 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12728,14246587] |
[a1,a2,a3,a4,a6] |
j |
-1459161/560000 |
j-invariant |
L |
3.8669863104339 |
L(r)(E,1)/r! |
Ω |
0.27621330825298 |
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 |
8470m1 76230bc1 |
Quadratic twists by: -3 -11 |