Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090a |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1018909008600 = -1 · 23 · 3 · 52 · 74 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2342,22348] |
[a1,a2,a3,a4,a6] |
Generators |
[3:170:1] |
Generators of the group modulo torsion |
j |
1419693539792471/1018909008600 |
j-invariant |
L |
2.2991874182706 |
L(r)(E,1)/r! |
Ω |
0.55700040435465 |
Real period |
R |
2.0639010315751 |
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 |
48720ce3 18270bv4 30450cr3 42630bt3 |
Quadratic twists by: -4 -3 5 -7 |