Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680db |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19124582400 = 211 · 32 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2816,-58080] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:6:1] |
Generators of the group modulo torsion |
j |
3516833486/27225 |
j-invariant |
L |
6.3089191106296 |
L(r)(E,1)/r! |
Ω |
0.65566387776839 |
Real period |
R |
2.4055462426203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360t2 64680cg2 |
Quadratic twists by: -4 -7 |