Atkin-Lehner |
2+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918u |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
130578477284836 = 22 · 74 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13966,321792] |
[a1,a2,a3,a4,a6] |
j |
6403769793/2775556 |
j-invariant |
L |
2.1095114703398 |
L(r)(E,1)/r! |
Ω |
0.52737783858818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
238c2 |
Quadratic twists by: -19 |