Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bq |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2568866856192 = 28 · 38 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30135,-2012038] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:36:1] |
Generators of the group modulo torsion |
j |
137842000/117 |
j-invariant |
L |
5.2386357255802 |
L(r)(E,1)/r! |
Ω |
0.36237137618202 |
Real period |
R |
1.8070673037023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728bj2 15288f2 936g2 |
Quadratic twists by: -4 -3 -7 |