Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16785603949363200 = 217 · 316 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-516481,-142558175] |
[a1,a2,a3,a4,a6] |
Generators |
[-409:312:1] [1175:29520:1] |
Generators of the group modulo torsion |
j |
116245908353453762/128063994975 |
j-invariant |
L |
9.9246032437548 |
L(r)(E,1)/r! |
Ω |
0.17810028894878 |
Real period |
R |
27.862400747319 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240cy4 28560bu4 |
Quadratic twists by: -4 8 |