Atkin-Lehner |
2+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600a |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-2579200 = -1 · 28 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 3 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,208] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] |
Generators of the group modulo torsion |
j |
-5513680/403 |
j-invariant |
L |
4.9343491053716 |
L(r)(E,1)/r! |
Ω |
2.520085746464 |
Real period |
R |
0.97900420896018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600bf1 |
Quadratic twists by: 5 |