Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bj |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-5168620916321550336 = -1 · 230 · 36 · 115 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ -6 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342939,133938506] |
[a1,a2,a3,a4,a6] |
j |
-1493780780062297/1730960687104 |
j-invariant |
L |
1.7556534242267 |
L(r)(E,1)/r! |
Ω |
0.21945667844243 |
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 |
8118t1 7216h1 |
Quadratic twists by: -4 -3 |