Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730q |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
1774500 = 22 · 3 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46,-121] |
[a1,a2,a3,a4,a6] |
j |
10779215329/1774500 |
j-invariant |
L |
1.8534635793011 |
L(r)(E,1)/r! |
Ω |
1.8534635793011 |
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 |
21840bv1 87360cz1 8190o1 13650bg1 |
Quadratic twists by: -4 8 -3 5 |