Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886t |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
601344 |
Modular degree for the optimal curve |
Δ |
-491063596603272 = -1 · 23 · 312 · 73 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19121,-1475476] |
[a1,a2,a3,a4,a6] |
j |
-52802213121625/33540304392 |
j-invariant |
L |
2.3680519309304 |
L(r)(E,1)/r! |
Ω |
0.19733768803035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116886bk1 |
Quadratic twists by: -11 |