Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990g |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-2530373271552000 = -1 · 228 · 34 · 53 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46727,-4599051] |
[a1,a2,a3,a4,a6] |
j |
-11283450590382195961/2530373271552000 |
j-invariant |
L |
0.96265733499266 |
L(r)(E,1)/r! |
Ω |
0.16044288916544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920cb1 127680cg1 11970br1 19950cw1 |
Quadratic twists by: -4 8 -3 5 |