Atkin-Lehner |
2- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
3604b |
Isogeny class |
Conductor |
3604 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
26064 |
Modular degree for the optimal curve |
Δ |
66659584 = 28 · 173 · 53 |
Discriminant |
Eigenvalues |
2- -1 1 -2 -4 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2999485,-1998485527] |
[a1,a2,a3,a4,a6] |
j |
11657997957801459245056/260389 |
j-invariant |
L |
1.0324769823578 |
L(r)(E,1)/r! |
Ω |
0.11471966470643 |
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 |
14416k1 57664j1 32436d1 90100a1 |
Quadratic twists by: -4 8 -3 5 |