Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93240l |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
683787727243756800 = 28 · 316 · 52 · 72 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60788703,182424186898] |
[a1,a2,a3,a4,a6] |
j |
133114342192953584299216/3663986021325 |
j-invariant |
L |
1.6739584682133 |
L(r)(E,1)/r! |
Ω |
0.20924482267393 |
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 |
31080ba2 |
Quadratic twists by: -3 |