Atkin-Lehner |
11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64493d |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-4404237681448891 = -1 · 113 · 134 · 415 |
Discriminant |
Eigenvalues |
-1 2 1 3 11+ 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1944390,1042768574] |
[a1,a2,a3,a4,a6] |
j |
-610795469549242191131/3308968956761 |
j-invariant |
L |
3.0983861221613 |
L(r)(E,1)/r! |
Ω |
0.38729826580278 |
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 |
64493c1 |
Quadratic twists by: -11 |