Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dd |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1553664000000 = 214 · 3 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3281,39375] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:249:1] |
Generators of the group modulo torsion |
j |
238481570896/94828125 |
j-invariant |
L |
6.8875702628107 |
L(r)(E,1)/r! |
Ω |
0.7692468703299 |
Real period |
R |
4.4768269633827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fz2 14280h2 |
Quadratic twists by: -4 8 |