Atkin-Lehner |
3- 5- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42315g |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
860958635355 = 34 · 5 · 74 · 134 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67133,-6700399] |
[a1,a2,a3,a4,a6] |
Generators |
[-1194:659:8] |
Generators of the group modulo torsion |
j |
33459741238301831881/860958635355 |
j-invariant |
L |
8.7455499066697 |
L(r)(E,1)/r! |
Ω |
0.2965971587281 |
Real period |
R |
3.685786280022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945j4 |
Quadratic twists by: -3 |