Atkin-Lehner |
2- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
37168g |
Isogeny class |
Conductor |
37168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-1985849072 = -1 · 24 · 233 · 1012 |
Discriminant |
Eigenvalues |
2- -3 2 -4 -4 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1549,23563] |
[a1,a2,a3,a4,a6] |
Generators |
[34:101:1] |
Generators of the group modulo torsion |
j |
-25689637893888/124115567 |
j-invariant |
L |
2.9234241807861 |
L(r)(E,1)/r! |
Ω |
1.4825301388421 |
Real period |
R |
0.98595775701003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9292d1 |
Quadratic twists by: -4 |