Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624m |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14477499380736 = -1 · 210 · 37 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1149,-182450] |
[a1,a2,a3,a4,a6] |
Generators |
[642:5225:8] |
Generators of the group modulo torsion |
j |
224727548/19393941 |
j-invariant |
L |
4.1308303523276 |
L(r)(E,1)/r! |
Ω |
0.33410964988607 |
Real period |
R |
6.1818483149712 |
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 |
31248m3 124992co3 5208m4 109368v3 |
Quadratic twists by: -4 8 -3 -7 |