Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037n |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
21638253 = 3 · 72 · 133 · 67 |
Discriminant |
Eigenvalues |
2 3- 2 7- 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-72,53] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:137:8] |
Generators of the group modulo torsion |
j |
854167552/441597 |
j-invariant |
L |
21.499563815032 |
L(r)(E,1)/r! |
Ω |
1.8929079788497 |
Real period |
R |
3.7859850352001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128037b1 |
Quadratic twists by: -7 |