Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bh |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
44844845246208 = 28 · 312 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18975,953066] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1368:1] |
Generators of the group modulo torsion |
j |
4048569250000/240295167 |
j-invariant |
L |
5.2894207436421 |
L(r)(E,1)/r! |
Ω |
0.62940531902575 |
Real period |
R |
4.2019193226945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812j2 124992eh2 10416o2 |
Quadratic twists by: -4 8 -3 |