Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350g |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
893412100000000 = 28 · 58 · 74 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41917,-2963259] |
[a1,a2,a3,a4,a6] |
Generators |
[539:11168:1] |
Generators of the group modulo torsion |
j |
521290837924641/57178374400 |
j-invariant |
L |
3.78930211862 |
L(r)(E,1)/r! |
Ω |
0.33603291268504 |
Real period |
R |
2.8191450714916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4270h2 |
Quadratic twists by: 5 |