Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400h |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-14757890560000000 = -1 · 215 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80033,10519937] |
[a1,a2,a3,a4,a6] |
Generators |
[247:2400:1] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
8.9796305032457 |
L(r)(E,1)/r! |
Ω |
0.37532389631835 |
Real period |
R |
2.9906270927248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400l1 39200bn1 15680c1 78400cu1 |
Quadratic twists by: -4 8 5 -7 |