Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550cn |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-156473170000000 = -1 · 27 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-500438,-136471469] |
[a1,a2,a3,a4,a6] |
j |
-7539913083529/85120 |
j-invariant |
L |
5.0259679795451 |
L(r)(E,1)/r! |
Ω |
0.089749428209334 |
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 |
9310m1 6650z1 |
Quadratic twists by: 5 -7 |