Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990h |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
16492385700 = 22 · 311 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1753012,892627804] |
[a1,a2,a3,a4,a6] |
j |
595770186172725915913801/16492385700 |
j-invariant |
L |
1.3037916284627 |
L(r)(E,1)/r! |
Ω |
0.65189581423134 |
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 |
31920cg1 127680cl1 11970bs1 19950cy1 |
Quadratic twists by: -4 8 -3 5 |