Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472p |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1137080482949376 = 28 · 312 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26319,262190] |
[a1,a2,a3,a4,a6] |
Generators |
[857:24640:1] |
Generators of the group modulo torsion |
j |
10803497374672/6092895249 |
j-invariant |
L |
7.8797797962808 |
L(r)(E,1)/r! |
Ω |
0.42120448013933 |
Real period |
R |
4.6769325634624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29736q2 19824d2 |
Quadratic twists by: -4 -3 |