Atkin-Lehner |
2+ 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4290o |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7074906009600 = -1 · 212 · 3 · 52 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141973,-20602144] |
[a1,a2,a3,a4,a6] |
j |
-316472948332146183241/7074906009600 |
j-invariant |
L |
2.2135554630999 |
L(r)(E,1)/r! |
Ω |
0.12297530350555 |
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 |
34320bm3 12870bw3 21450bo3 47190cz3 |
Quadratic twists by: -4 -3 5 -11 |