Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240jr |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
98402304 |
Modular degree for the optimal curve |
Δ |
-1.968782484375E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1543833025,-24304836450625] |
[a1,a2,a3,a4,a6] |
j |
-6209330302768171611865194436/300412366390228271484375 |
j-invariant |
L |
0.52838242349855 |
L(r)(E,1)/r! |
Ω |
0.012008692087533 |
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 |
114240ce1 28560a1 |
Quadratic twists by: -4 8 |