Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bc |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
187833769212375000 = 23 · 314 · 56 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-169767,-16988859] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:2634:1] |
Generators of the group modulo torsion |
j |
47504791830313/16490207448 |
j-invariant |
L |
5.1427748316496 |
L(r)(E,1)/r! |
Ω |
0.24187590766143 |
Real period |
R |
2.6577547973711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450cp3 2574t3 |
Quadratic twists by: -3 5 |