Atkin-Lehner |
7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811p |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
32629733717 = 73 · 175 · 67 |
Discriminant |
Eigenvalues |
-2 -2 -2 7- 1 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-884,-5484] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:24:1] [-12:59:1] |
Generators of the group modulo torsion |
j |
222985990144/95130419 |
j-invariant |
L |
2.9397329371179 |
L(r)(E,1)/r! |
Ω |
0.90975924886111 |
Real period |
R |
0.32313306413641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55811j1 |
Quadratic twists by: -7 |