Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bo |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-1359750000 = -1 · 24 · 3 · 56 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-176,-2002] |
[a1,a2,a3,a4,a6] |
j |
-38272753/87024 |
j-invariant |
L |
2.452762052651 |
L(r)(E,1)/r! |
Ω |
0.61319051316407 |
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 |
116550fh1 1554g1 |
Quadratic twists by: -3 5 |