Atkin-Lehner |
3- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775x |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-366993978198046875 = -1 · 37 · 58 · 136 · 89 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79951,-30424327] |
[a1,a2,a3,a4,a6] |
Generators |
[4777:327161:1] |
Generators of the group modulo torsion |
j |
-144686352810505/939504584187 |
j-invariant |
L |
8.3961194829559 |
L(r)(E,1)/r! |
Ω |
0.1264716475159 |
Real period |
R |
1.5806515563685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86775g1 |
Quadratic twists by: 5 |