Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bl |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
546 |
Product of Tamagawa factors cp |
deg |
7128576 |
Modular degree for the optimal curve |
Δ |
5.3385472E+20 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -5 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2187432,561639531] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-16071:1] [-1139:40249:1] |
Generators of the group modulo torsion |
j |
38854571866060040271/17920000000000000 |
j-invariant |
L |
9.6029374513494 |
L(r)(E,1)/r! |
Ω |
0.14729137114781 |
Real period |
R |
0.11940820017368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270bk1 |
Quadratic twists by: -31 |