Atkin-Lehner |
2- 5- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
48280f |
Isogeny class |
Conductor |
48280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-15848920905952000 = -1 · 28 · 53 · 178 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- -3 0 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62495,705525] |
[a1,a2,a3,a4,a6] |
j |
105441752303934464/61909847288875 |
j-invariant |
L |
2.8561283087824 |
L(r)(E,1)/r! |
Ω |
0.23801069245418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96560e1 |
Quadratic twists by: -4 |