Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fa |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16001804723097600 = 212 · 36 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-479321,127743321] |
[a1,a2,a3,a4,a6] |
Generators |
[-579:14520:1] |
Generators of the group modulo torsion |
j |
1678370855104/2205225 |
j-invariant |
L |
4.2331554840608 |
L(r)(E,1)/r! |
Ω |
0.3910793441446 |
Real period |
R |
2.7060720017956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069404 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160hq2 58080v1 10560bm2 |
Quadratic twists by: -4 8 -11 |