Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fr |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
133639962624000000 = 226 · 32 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146881,-12604319] |
[a1,a2,a3,a4,a6] |
Generators |
[759:17680:1] |
Generators of the group modulo torsion |
j |
1336852858103281/509796000000 |
j-invariant |
L |
4.791672450231 |
L(r)(E,1)/r! |
Ω |
0.25183093796849 |
Real period |
R |
4.7568345934403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593522 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240dy2 28560dv2 |
Quadratic twists by: -4 8 |