Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240es |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-6.2018390074657E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,426915,-1193207517] |
[a1,a2,a3,a4,a6] |
j |
8403244139160283136/605648340572821875 |
j-invariant |
L |
4.6452622672041 |
L(r)(E,1)/r! |
Ω |
0.077421039704524 |
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 |
114240gv1 14280bg1 |
Quadratic twists by: -4 8 |