Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dn |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-5568809882328000 = -1 · 26 · 36 · 53 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10867,3561077] |
[a1,a2,a3,a4,a6] |
j |
109902239/4312000 |
j-invariant |
L |
3.8857384927512 |
L(r)(E,1)/r! |
Ω |
0.32381154034508 |
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 |
8470l1 6930h1 |
Quadratic twists by: -3 -11 |