Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
39200v |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-46118408000000000 = -1 · 212 · 59 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -4 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,57167,-8873537] |
[a1,a2,a3,a4,a6] |
j |
448 |
j-invariant |
L |
0.74463702746804 |
L(r)(E,1)/r! |
Ω |
0.18615925687029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200ck1 78400dt1 39200cl1 39200bd1 |
Quadratic twists by: -4 8 5 -7 |