Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920m |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
156246278400 = 28 · 38 · 52 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10983,-442618] |
[a1,a2,a3,a4,a6] |
Generators |
[52030:1023946:125] |
Generators of the group modulo torsion |
j |
785089500496/837225 |
j-invariant |
L |
6.8376183288035 |
L(r)(E,1)/r! |
Ω |
0.46638772936463 |
Real period |
R |
7.3304011858499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21960g2 14640e2 |
Quadratic twists by: -4 -3 |