Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990h |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-99124922039928750 = -1 · 2 · 322 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1752942,892702746] |
[a1,a2,a3,a4,a6] |
j |
-595698819458679957260521/99124922039928750 |
j-invariant |
L |
1.3037916284627 |
L(r)(E,1)/r! |
Ω |
0.32594790711567 |
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 |
31920cg2 127680cl2 11970bs2 19950cy2 |
Quadratic twists by: -4 8 -3 5 |