Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600l |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-365720320000 = -1 · 211 · 54 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 1 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,-28812] |
[a1,a2,a3,a4,a6] |
Generators |
[98:980:1] |
Generators of the group modulo torsion |
j |
5191150/285719 |
j-invariant |
L |
4.2536022388275 |
L(r)(E,1)/r! |
Ω |
0.45657668790802 |
Real period |
R |
0.15527155136132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23800f1 47600e1 |
Quadratic twists by: -4 5 |