Atkin-Lehner |
2- 5+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87550j |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-112720625000 = -1 · 23 · 57 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -2 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,662,-14708] |
[a1,a2,a3,a4,a6] |
j |
2053225511/7214120 |
j-invariant |
L |
6.4368919261677 |
L(r)(E,1)/r! |
Ω |
0.53640766076092 |
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 |
17510e1 |
Quadratic twists by: 5 |