Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848o |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-41675382784 = -1 · 213 · 72 · 473 |
Discriminant |
Eigenvalues |
2- -2 3 7- -3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1024,-16332] |
[a1,a2,a3,a4,a6] |
Generators |
[66:456:1] |
Generators of the group modulo torsion |
j |
-592231633/207646 |
j-invariant |
L |
4.7966537249431 |
L(r)(E,1)/r! |
Ω |
0.41463113460665 |
Real period |
R |
2.892121047237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606l2 36848h2 |
Quadratic twists by: -4 -7 |