Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498u |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1864800 |
Modular degree for the optimal curve |
Δ |
-6118121012346491904 = -1 · 210 · 35 · 7 · 378 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 -4 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62261,118860401] |
[a1,a2,a3,a4,a6] |
j |
7599023/1741824 |
j-invariant |
L |
9.233493610378 |
L(r)(E,1)/r! |
Ω |
0.1846698721686 |
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 |
57498l1 |
Quadratic twists by: 37 |