Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4862c |
Isogeny class |
Conductor |
4862 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-3105662922242452 = -1 · 22 · 114 · 133 · 176 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 11+ 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,34484,-1052466] |
[a1,a2,a3,a4,a6] |
Generators |
[34:382:1] |
Generators of the group modulo torsion |
j |
4535182051990706375/3105662922242452 |
j-invariant |
L |
1.4828441881651 |
L(r)(E,1)/r! |
Ω |
0.25447661944959 |
Real period |
R |
2.9135175391994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38896m2 43758w2 121550be2 53482l2 |
Quadratic twists by: -4 -3 5 -11 |