Atkin-Lehner |
2- 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37720n |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-754400000 = -1 · 28 · 55 · 23 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -4 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-50:1] [-3:58:1] |
Generators of the group modulo torsion |
j |
-11702923216/2946875 |
j-invariant |
L |
6.9084994832392 |
L(r)(E,1)/r! |
Ω |
1.5221366529743 |
Real period |
R |
0.22693427261412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75440n1 |
Quadratic twists by: -4 |