Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960c |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
506203790400 = 26 · 32 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19766,1075680] |
[a1,a2,a3,a4,a6] |
Generators |
[88:100:1] |
Generators of the group modulo torsion |
j |
13345107693305536/7909434225 |
j-invariant |
L |
4.5503728682724 |
L(r)(E,1)/r! |
Ω |
0.91885529355446 |
Real period |
R |
2.4761096225876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960v1 73920hr2 110880do1 |
Quadratic twists by: -4 8 -3 |