Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488ef |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-1735791675558912 = -1 · 210 · 35 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -4 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26203,-1154373] |
[a1,a2,a3,a4,a6] |
j |
278528/243 |
j-invariant |
L |
2.5962654290289 |
L(r)(E,1)/r! |
Ω |
0.25962654321914 |
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 |
55488t1 13872ba1 55488cs1 |
Quadratic twists by: -4 8 17 |