Atkin-Lehner |
2+ 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
47138f |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103488 |
Modular degree for the optimal curve |
Δ |
-39751854012416 = -1 · 211 · 79 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -3 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1936,-305920] |
[a1,a2,a3,a4,a6] |
j |
-19902511/985088 |
j-invariant |
L |
0.56648256121218 |
L(r)(E,1)/r! |
Ω |
0.28324128073459 |
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 |
47138c1 |
Quadratic twists by: -7 |