Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775q |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8714251089755859375 = 35 · 510 · 710 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20670063,-36179358594] |
[a1,a2,a3,a4,a6] |
Generators |
[-1448942050:462366591:551368] |
Generators of the group modulo torsion |
j |
531301262949272089/4740474375 |
j-invariant |
L |
3.2056999809839 |
L(r)(E,1)/r! |
Ω |
0.070805066822702 |
Real period |
R |
11.318752049958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555u3 6825j3 |
Quadratic twists by: 5 -7 |