Atkin-Lehner |
2- 3- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506v |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1761896015190108 = 22 · 36 · 73 · 192 · 474 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30926,548328] |
[a1,a2,a3,a4,a6] |
Generators |
[172:484:1] |
Generators of the group modulo torsion |
j |
3271115240450170849/1761896015190108 |
j-invariant |
L |
13.436879692749 |
L(r)(E,1)/r! |
Ω |
0.41150436023425 |
Real period |
R |
2.721088966732 |
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 |
112518h2 |
Quadratic twists by: -3 |