Atkin-Lehner |
2- 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730by |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2080 |
Product of Tamagawa factors cp |
deg |
83466240 |
Modular degree for the optimal curve |
Δ |
2.5710183010256E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14884473272,698531409749819] |
[a1,a2,a3,a4,a6] |
j |
500260940707947616544004758689849/352677407548090456473600000 |
j-invariant |
L |
4.0059100699038 |
L(r)(E,1)/r! |
Ω |
0.030814692844642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14910p1 |
Quadratic twists by: -3 |