Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248cb |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2916361548914688 = -1 · 213 · 314 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35709,71426] |
[a1,a2,a3,a4,a6] |
j |
1686433811327/976683582 |
j-invariant |
L |
2.1657196010503 |
L(r)(E,1)/r! |
Ω |
0.27071495013134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906i4 124992fx3 10416y4 |
Quadratic twists by: -4 8 -3 |