Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120f |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-6525990030000 = -1 · 24 · 3 · 54 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4291,-162320] |
[a1,a2,a3,a4,a6] |
Generators |
[123:-1075:1] |
Generators of the group modulo torsion |
j |
-546236201887744/407874376875 |
j-invariant |
L |
4.3341404838619 |
L(r)(E,1)/r! |
Ω |
0.28564848397316 |
Real period |
R |
1.2644155103906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240p1 108360ca1 |
Quadratic twists by: -4 -3 |