Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dj |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17333889269760 = 220 · 34 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116641,-15370561] |
[a1,a2,a3,a4,a6] |
Generators |
[-5298:485:27] |
Generators of the group modulo torsion |
j |
669485563505641/66123540 |
j-invariant |
L |
6.1304189556234 |
L(r)(E,1)/r! |
Ω |
0.25833842626518 |
Real period |
R |
5.9325465560538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gj4 3570g3 |
Quadratic twists by: -4 8 |