Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800cr |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5638207744000000000 = -1 · 217 · 59 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -4 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,145792,112166912] |
[a1,a2,a3,a4,a6] |
j |
42838260499/704775968 |
j-invariant |
L |
1.430869223049 |
L(r)(E,1)/r! |
Ω |
0.17885866460093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350w2 98800df2 |
Quadratic twists by: -4 5 |