Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360l |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
325444692101760000 = 210 · 36 · 54 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-619376,-185395440] |
[a1,a2,a3,a4,a6] |
Generators |
[-464:1372:1] [916:3872:1] |
Generators of the group modulo torsion |
j |
218121931923844/2701400625 |
j-invariant |
L |
10.042348125132 |
L(r)(E,1)/r! |
Ω |
0.17030844464336 |
Real period |
R |
7.3707062397124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680x2 18480x2 |
Quadratic twists by: -4 -7 |