Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240jp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-2.3845933305299E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2068865,-1365924225] |
[a1,a2,a3,a4,a6] |
j |
-3735772816268612449/909650165760000 |
j-invariant |
L |
1.4914269606015 |
L(r)(E,1)/r! |
Ω |
0.062142813672244 |
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 |
114240cc1 28560cd1 |
Quadratic twists by: -4 8 |