Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cx |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-3187945278232000 = -1 · 26 · 53 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-230568,42603881] |
[a1,a2,a3,a4,a6] |
j |
-4599141247/10816 |
j-invariant |
L |
5.3928129983434 |
L(r)(E,1)/r! |
Ω |
0.44940108883087 |
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 |
78650x1 78650w1 |
Quadratic twists by: 5 -11 |