Atkin-Lehner |
7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
86359a |
Isogeny class |
Conductor |
86359 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1382976 |
Modular degree for the optimal curve |
Δ |
-2.0102882146732E+19 |
Discriminant |
Eigenvalues |
-1 0 0 7- 3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1072675,-478675154] |
[a1,a2,a3,a4,a6] |
j |
-28279237523279625/4164838954003 |
j-invariant |
L |
1.0300483762179 |
L(r)(E,1)/r! |
Ω |
0.073574883455155 |
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 |
6643a1 |
Quadratic twists by: 13 |