Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990a |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
706816530 = 2 · 312 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7108,-233642] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:26:1] |
Generators of the group modulo torsion |
j |
39724773881792329/706816530 |
j-invariant |
L |
1.9848141319391 |
L(r)(E,1)/r! |
Ω |
0.51994236848564 |
Real period |
R |
1.9086866662934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920br4 127680cv4 11970bv4 19950cr3 |
Quadratic twists by: -4 8 -3 5 |