Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800y |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1648115000000000000 = -1 · 212 · 513 · 73 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 1 -3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13316133,-18698837363] |
[a1,a2,a3,a4,a6] |
j |
-4080168919667961856/25751796875 |
j-invariant |
L |
0.15806458542954 |
L(r)(E,1)/r! |
Ω |
0.039516171426139 |
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 |
5425h1 17360bi1 |
Quadratic twists by: -4 5 |