Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880bd |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-125290168200000 = -1 · 26 · 310 · 55 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4176,-547074] |
[a1,a2,a3,a4,a6] |
j |
-125872019960896/1957658878125 |
j-invariant |
L |
2.2663860829129 |
L(r)(E,1)/r! |
Ω |
0.25182066779432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98880br1 49440f2 |
Quadratic twists by: -4 8 |