Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37752p |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-5177514842015053824 = -1 · 211 · 310 · 117 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-587616,205242732] |
[a1,a2,a3,a4,a6] |
Generators |
[13386:499851:8] |
Generators of the group modulo torsion |
j |
-6184708364018/1427037183 |
j-invariant |
L |
3.4637983572033 |
L(r)(E,1)/r! |
Ω |
0.23113094808401 |
Real period |
R |
3.7465756813583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504p1 113256n1 3432a1 |
Quadratic twists by: -4 -3 -11 |