Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1190a |
Isogeny class |
Conductor |
1190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
27200448800 = 25 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4145,-101379] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:36:1] |
Generators of the group modulo torsion |
j |
7876916680687209/27200448800 |
j-invariant |
L |
1.8951839813102 |
L(r)(E,1)/r! |
Ω |
0.59511882605062 |
Real period |
R |
0.53075786390626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9520g2 38080x2 10710bl2 5950k2 |
Quadratic twists by: -4 8 -3 5 |