Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574ch |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1876154071468110588 = 22 · 38 · 79 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-815361,275273571] |
[a1,a2,a3,a4,a6] |
j |
838561807/26244 |
j-invariant |
L |
4.1947007353907 |
L(r)(E,1)/r! |
Ω |
0.26216879596199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722dy2 35574di2 294f2 |
Quadratic twists by: -3 -7 -11 |