Atkin-Lehner |
7- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74333i |
Isogeny class |
Conductor |
74333 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-178473533 = -1 · 76 · 37 · 41 |
Discriminant |
Eigenvalues |
-1 -1 -4 7- -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,636] |
[a1,a2,a3,a4,a6] |
Generators |
[6:21:1] [-8:28:1] |
Generators of the group modulo torsion |
j |
-117649/1517 |
j-invariant |
L |
3.1399197881844 |
L(r)(E,1)/r! |
Ω |
1.5292710408136 |
Real period |
R |
0.5133033491518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1517b1 |
Quadratic twists by: -7 |