Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636m |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
9380868193536 = 28 · 3 · 76 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25349,1554897] |
[a1,a2,a3,a4,a6] |
j |
59812937728/311469 |
j-invariant |
L |
2.1977293965209 |
L(r)(E,1)/r! |
Ω |
0.73257646550651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544dv2 82908y2 564b2 |
Quadratic twists by: -4 -3 -7 |