Atkin-Lehner |
3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205f |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
249615 = 33 · 5 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5- -1 -1 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24,45] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-1:1] |
Generators of the group modulo torsion |
j |
31347/5 |
j-invariant |
L |
8.4954854817017 |
L(r)(E,1)/r! |
Ω |
2.9819658318208 |
Real period |
R |
1.4244773347492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83205b1 83205a1 |
Quadratic twists by: -3 -43 |