Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600o |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-23120000000 = -1 · 210 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4675,123250] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-50:1] |
Generators of the group modulo torsion |
j |
-2443716/5 |
j-invariant |
L |
4.2985622883951 |
L(r)(E,1)/r! |
Ω |
1.2037303778009 |
Real period |
R |
0.44637926132493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000170703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800i1 23120l1 115600s1 |
Quadratic twists by: -4 5 17 |