Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730r |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
9.8990174299162E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6508901,6207047723] |
[a1,a2,a3,a4,a6] |
j |
30496269316997451137719249/989901742991616000000 |
j-invariant |
L |
2.175849168082 |
L(r)(E,1)/r! |
Ω |
0.15541779772014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21840bx2 87360df2 8190q2 13650bi2 |
Quadratic twists by: -4 8 -3 5 |