Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
37446j |
Isogeny class |
Conductor |
37446 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
582360192 = 27 · 36 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -4 -4 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-209,-87] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:19:1] [-2:19:1] |
Generators of the group modulo torsion |
j |
161822257/93312 |
j-invariant |
L |
12.20128945181 |
L(r)(E,1)/r! |
Ω |
1.3686383572862 |
Real period |
R |
0.2122597910275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338i1 37446i1 |
Quadratic twists by: -3 -79 |