Atkin-Lehner |
17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37553c |
Isogeny class |
Conductor |
37553 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
146414081813807 = 172 · 477 |
Discriminant |
Eigenvalues |
-1 2 -4 -2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-554505,-159160144] |
[a1,a2,a3,a4,a6] |
Generators |
[-594482016513:314501567479:1378749897] |
Generators of the group modulo torsion |
j |
1749254553649/13583 |
j-invariant |
L |
2.4598350375422 |
L(r)(E,1)/r! |
Ω |
0.17495380261553 |
Real period |
R |
14.05991182111 |
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 |
799a2 |
Quadratic twists by: -47 |