Atkin-Lehner |
3- 11- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72369l |
Isogeny class |
Conductor |
72369 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51712 |
Modular degree for the optimal curve |
Δ |
38459853729 = 314 · 11 · 17 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1751,27006] |
[a1,a2,a3,a4,a6] |
j |
813995635753/52757001 |
j-invariant |
L |
1.1315274671374 |
L(r)(E,1)/r! |
Ω |
1.1315274856704 |
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 |
24123b1 |
Quadratic twists by: -3 |