Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200d |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10077696000 = 212 · 39 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
2.1757238458458 |
L(r)(E,1)/r! |
Ω |
1.0878619229229 |
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 |
7200d2 14400dd1 7200bd2 7200be2 |
Quadratic twists by: -4 8 -3 5 |