Atkin-Lehner |
2- 3+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37380d |
Isogeny class |
Conductor |
37380 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3924900000000 = -1 · 28 · 32 · 58 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3900,135000] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-210:1] |
Generators of the group modulo torsion |
j |
-25632379281616/15331640625 |
j-invariant |
L |
5.6201927616559 |
L(r)(E,1)/r! |
Ω |
0.72586158285401 |
Real period |
R |
0.32261619010272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140f2 |
Quadratic twists by: -3 |