Atkin-Lehner |
2+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192d |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-369150001276672 = -1 · 28 · 7 · 118 · 312 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17279,1272318] |
[a1,a2,a3,a4,a6] |
j |
-2228638150932048/1441992192487 |
j-invariant |
L |
0.99152551128527 |
L(r)(E,1)/r! |
Ω |
0.49576275563992 |
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 |
19096e1 |
Quadratic twists by: -4 |