Atkin-Lehner |
3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18759l |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-457046020587 = -1 · 3 · 133 · 375 |
Discriminant |
Eigenvalues |
-2 3- 2 2 5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-472,32608] |
[a1,a2,a3,a4,a6] |
Generators |
[4:175:1] |
Generators of the group modulo torsion |
j |
-5304438784/208031871 |
j-invariant |
L |
4.1101968801546 |
L(r)(E,1)/r! |
Ω |
0.77973151562906 |
Real period |
R |
2.6356488084483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56277q2 18759m2 |
Quadratic twists by: -3 13 |