Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bn |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7114373530993352680 = 23 · 5 · 7 · 3111 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4948568615,133988082366497] |
[a1,a2,a3,a4,a6] |
Generators |
[43232:901905:1] |
Generators of the group modulo torsion |
j |
15100535141642459644213681/8016162280 |
j-invariant |
L |
13.947096012456 |
L(r)(E,1)/r! |
Ω |
0.10076215088516 |
Real period |
R |
0.46138673732427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
24.999999999375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170q2 |
Quadratic twists by: -31 |