Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960l |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-44457336000 = -1 · 26 · 38 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,870,-2628] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] [14:110:1] |
Generators of the group modulo torsion |
j |
1136585761856/694645875 |
j-invariant |
L |
7.7748660846512 |
L(r)(E,1)/r! |
Ω |
0.65933201886737 |
Real period |
R |
1.9653391266125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bc1 73920go2 110880db1 |
Quadratic twists by: -4 8 -3 |