Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248cb |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45556668186624 = 214 · 310 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8931,8930] |
[a1,a2,a3,a4,a6] |
j |
26383748833/15256836 |
j-invariant |
L |
2.1657196010503 |
L(r)(E,1)/r! |
Ω |
0.54142990026269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3906i2 124992fx2 10416y2 |
Quadratic twists by: -4 8 -3 |