Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920v |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28951205068800 = 214 · 312 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1135176,-465146640] |
[a1,a2,a3,a4,a6] |
Generators |
[5946:450522:1] |
Generators of the group modulo torsion |
j |
39496057701398850889/7068165300 |
j-invariant |
L |
2.8081769798483 |
L(r)(E,1)/r! |
Ω |
0.14626274751556 |
Real period |
R |
4.7998841597542 |
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 |
3990m3 127680fw4 95760ex4 |
Quadratic twists by: -4 8 -3 |