Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ck |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
1.193810512133E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-635125,-101380523] |
[a1,a2,a3,a4,a6] |
j |
27669547892867989504/11658305782549125 |
j-invariant |
L |
3.160778653611 |
L(r)(E,1)/r! |
Ω |
0.17559885534551 |
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 |
114240ka1 7140j1 |
Quadratic twists by: -4 8 |