Atkin-Lehner |
3- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114513p |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2507470776426357 = 34 · 73 · 19 · 416 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47405,3154836] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1720:1] |
Generators of the group modulo torsion |
j |
34348091995025047/7310410426899 |
j-invariant |
L |
2.6844546883747 |
L(r)(E,1)/r! |
Ω |
0.43224728518852 |
Real period |
R |
0.51753836868317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114513c2 |
Quadratic twists by: -7 |