Atkin-Lehner |
2+ 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810c |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2480565915878400 = 210 · 312 · 52 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-272237,-54733539] |
[a1,a2,a3,a4,a6] |
Generators |
[21727:3190874:1] |
Generators of the group modulo torsion |
j |
2231349786092891482201/2480565915878400 |
j-invariant |
L |
2.984806551614 |
L(r)(E,1)/r! |
Ω |
0.20902178288752 |
Real period |
R |
7.1399413744841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480ck2 38430bh2 64050cp2 89670r2 |
Quadratic twists by: -4 -3 5 -7 |