Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730o |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7751016000 = 26 · 32 · 53 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51474,-4499228] |
[a1,a2,a3,a4,a6] |
j |
15082569606665230489/7751016000 |
j-invariant |
L |
1.9017562385998 |
L(r)(E,1)/r! |
Ω |
0.31695937309996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840bf3 87360bk3 8190ca3 13650bs3 |
Quadratic twists by: -4 8 -3 5 |