Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cr |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
236390625000000 = 26 · 32 · 512 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128158,-17686312] |
[a1,a2,a3,a4,a6] |
j |
232789970236096/236390625 |
j-invariant |
L |
2.0187349855839 |
L(r)(E,1)/r! |
Ω |
0.25234187150182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98400ca1 19680d1 |
Quadratic twists by: -4 5 |