Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
315412585119744000 = 222 · 3 · 53 · 74 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2066881,1142716319] |
[a1,a2,a3,a4,a6] |
j |
3725035528036823281/1203203526000 |
j-invariant |
L |
4.792096628672 |
L(r)(E,1)/r! |
Ω |
0.29950602963937 |
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 |
114240fr4 3570u3 |
Quadratic twists by: -4 8 |