Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270w |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
6.1752762249022E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39586173,-95781249499] |
[a1,a2,a3,a4,a6] |
Generators |
[1738452:277149445:64] |
Generators of the group modulo torsion |
j |
7730081871906369249/6958028859040 |
j-invariant |
L |
7.8897565799152 |
L(r)(E,1)/r! |
Ω |
0.060191774168808 |
Real period |
R |
13.107699000133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170j2 |
Quadratic twists by: -31 |