Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4.8447373074393E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1114881,-304833375] |
[a1,a2,a3,a4,a6] |
j |
584614687782041281/184812061593600 |
j-invariant |
L |
2.4093081195351 |
L(r)(E,1)/r! |
Ω |
0.15058177482231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240dk2 28560ef2 |
Quadratic twists by: -4 8 |