Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970s |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20724558750 = -1 · 2 · 38 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,405,6075] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:45:1] [-5:65:1] |
Generators of the group modulo torsion |
j |
10063705679/28428750 |
j-invariant |
L |
4.3856306407266 |
L(r)(E,1)/r! |
Ω |
0.85244559826102 |
Real period |
R |
1.2861907697317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760eg2 3990bc2 59850fk2 83790cp2 |
Quadratic twists by: -4 -3 5 -7 |