Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bi |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
860321710080 = 215 · 37 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6348,-189488] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:68:1] [-46:72:1] |
Generators of the group modulo torsion |
j |
1184287112/36015 |
j-invariant |
L |
6.7861811562588 |
L(r)(E,1)/r! |
Ω |
0.5358564573547 |
Real period |
R |
1.5830221561945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160bs4 10080bx2 6720z4 100800fv3 |
Quadratic twists by: -4 8 -3 5 |