Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hs |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
51744000 = 28 · 3 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37445,-2801457] |
[a1,a2,a3,a4,a6] |
Generators |
[-81693:62:729] |
Generators of the group modulo torsion |
j |
462893166690304/4125 |
j-invariant |
L |
9.3515204598905 |
L(r)(E,1)/r! |
Ω |
0.34320225259994 |
Real period |
R |
4.5413068636208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340u2 129360dm2 |
Quadratic twists by: -4 -7 |