Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
31020l |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-566423553430606080 = -1 · 28 · 3 · 5 · 1112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-339460,-84412012] |
[a1,a2,a3,a4,a6] |
Generators |
[386029:10629366:343] |
Generators of the group modulo torsion |
j |
-16898604699344005456/2212592005588305 |
j-invariant |
L |
7.0524822457821 |
L(r)(E,1)/r! |
Ω |
0.098177622350581 |
Real period |
R |
3.9907726407453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124080bo2 93060l2 |
Quadratic twists by: -4 -3 |