Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ia |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
310915584000 = 212 · 36 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11081,-451881] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:12:1] |
Generators of the group modulo torsion |
j |
36740056590784/75907125 |
j-invariant |
L |
7.348823144842 |
L(r)(E,1)/r! |
Ω |
0.4653775802844 |
Real period |
R |
2.6318497161132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ft2 57120bo1 |
Quadratic twists by: -4 8 |