Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968bc |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-596400102144 = -1 · 28 · 36 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16236,797148] |
[a1,a2,a3,a4,a6] |
j |
-1905527808/2401 |
j-invariant |
L |
3.6576059956626 |
L(r)(E,1)/r! |
Ω |
0.91440169525991 |
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 |
60984cd1 13552a1 121968bu1 |
Quadratic twists by: -4 -3 -11 |