Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090a |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
51384375000 = 23 · 34 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8778,312732] |
[a1,a2,a3,a4,a6] |
Generators |
[57:12:1] |
Generators of the group modulo torsion |
j |
74814838808586409/51384375000 |
j-invariant |
L |
2.2991874182706 |
L(r)(E,1)/r! |
Ω |
1.1140008087093 |
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 |
48720ce4 18270bv3 30450cr4 42630bt4 |
Quadratic twists by: -4 -3 5 -7 |