Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3805606748160000 = 216 · 38 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40481,-995775] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1400:1] [325:4480:1] |
Generators of the group modulo torsion |
j |
111945903743524/58068950625 |
j-invariant |
L |
9.9246032437548 |
L(r)(E,1)/r! |
Ω |
0.35620057789756 |
Real period |
R |
6.9656001868299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959155 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240cy2 28560bu2 |
Quadratic twists by: -4 8 |