Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bi |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
52203110400 = 214 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9521,-354255] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:13:1] |
Generators of the group modulo torsion |
j |
5826356867536/3186225 |
j-invariant |
L |
5.6288444755196 |
L(r)(E,1)/r! |
Ω |
0.48332511972528 |
Real period |
R |
2.911520759414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240ip2 14280bc2 |
Quadratic twists by: -4 8 |