Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824n |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
82034125056 = 28 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7959,272950] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2520:1] |
Generators of the group modulo torsion |
j |
298766385232/439569 |
j-invariant |
L |
7.4137197680501 |
L(r)(E,1)/r! |
Ω |
1.0803485460192 |
Real period |
R |
3.4311703363548 |
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 |
15912h2 127296ci2 10608l2 |
Quadratic twists by: -4 8 -3 |