Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650dh |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
362468970937500 = 22 · 3 · 57 · 72 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393463,-95024083] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:247:1] |
Generators of the group modulo torsion |
j |
431137155391783849/23198014140 |
j-invariant |
L |
11.729640627301 |
L(r)(E,1)/r! |
Ω |
0.19062285786627 |
Real period |
R |
3.8458270293903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130c3 |
Quadratic twists by: 5 |