Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5264f |
Isogeny class |
Conductor |
5264 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-190516035584 = -1 · 218 · 7 · 473 |
Discriminant |
Eigenvalues |
2- -1 3 7+ -3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-504,21616] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:94:1] |
Generators of the group modulo torsion |
j |
-3463512697/46512704 |
j-invariant |
L |
3.6267171774103 |
L(r)(E,1)/r! |
Ω |
0.85459438224134 |
Real period |
R |
0.70729795966647 |
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 |
658c2 21056q2 47376bg2 36848m2 |
Quadratic twists by: -4 8 -3 -7 |