Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808cd |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
724552190208 = 28 · 37 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,-148862] |
[a1,a2,a3,a4,a6] |
j |
810448/33 |
j-invariant |
L |
2.2293038267184 |
L(r)(E,1)/r! |
Ω |
0.55732595668201 |
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 |
77616ch1 12936j1 792d1 |
Quadratic twists by: -4 -3 -7 |