Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57760j |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4817498214400 = -1 · 212 · 52 · 196 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-105519] |
[a1,a2,a3,a4,a6] |
Generators |
[77537085:1871179964:132651] |
Generators of the group modulo torsion |
j |
-64/25 |
j-invariant |
L |
7.3559775395495 |
L(r)(E,1)/r! |
Ω |
0.34544875832767 |
Real period |
R |
10.646987957246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57760e2 115520bf1 160a2 |
Quadratic twists by: -4 8 -19 |