Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680r |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1278356992000 = -1 · 212 · 53 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1579,48221] |
[a1,a2,a3,a4,a6] |
Generators |
[2668:137799:1] |
Generators of the group modulo torsion |
j |
106227040256/312098875 |
j-invariant |
L |
9.3721470638696 |
L(r)(E,1)/r! |
Ω |
0.60569989639923 |
Real period |
R |
5.1577506284279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3355a2 |
Quadratic twists by: -4 |