Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970q |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2840537109375000000 = 26 · 37 · 516 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1298970,-563708300] |
[a1,a2,a3,a4,a6] |
j |
332501596620668284321/3896484375000000 |
j-invariant |
L |
1.1321328662819 |
L(r)(E,1)/r! |
Ω |
0.14151660828524 |
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 |
95760ec3 3990t4 59850fg3 83790cj3 |
Quadratic twists by: -4 -3 5 -7 |