Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
286b |
Isogeny class |
Conductor |
286 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
104 |
Modular degree for the optimal curve |
Δ |
-12886016 = -1 · 213 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 -3 -5 11+ 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13,177] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-98:1] |
Generators of the group modulo torsion |
j |
241804367/12886016 |
j-invariant |
L |
1.6606489871013 |
L(r)(E,1)/r! |
Ω |
1.7061664867551 |
Real period |
R |
0.037435452744113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2288k1 9152i1 2574p1 7150c1 |
Quadratic twists by: -4 8 -3 5 |