Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160g |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
260876000000000000 = 214 · 512 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417856,101158656] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3234:1] |
Generators of the group modulo torsion |
j |
1969902499564819009/63690429687500 |
j-invariant |
L |
5.0425500834666 |
L(r)(E,1)/r! |
Ω |
0.30887873664038 |
Real period |
R |
2.7208898322114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
770f4 24640bt4 55440ec4 30800ca4 |
Quadratic twists by: -4 8 -3 5 |