Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990t |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3745967689800 = 23 · 32 · 52 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3465650,-2484721033] |
[a1,a2,a3,a4,a6] |
Generators |
[4327:249941:1] |
Generators of the group modulo torsion |
j |
4603390551972799451373601/3745967689800 |
j-invariant |
L |
4.5622472953788 |
L(r)(E,1)/r! |
Ω |
0.11065049952758 |
Real period |
R |
3.4359291303527 |
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 |
31920cc6 127680cf6 11970q5 19950w5 |
Quadratic twists by: -4 8 -3 5 |