Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
42848j |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
-126604434205184 = -1 · 29 · 133 · 1034 |
Discriminant |
Eigenvalues |
2- 1 3 1 6 13+ 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9656,402844] |
[a1,a2,a3,a4,a6] |
Generators |
[68190:1278127:216] |
Generators of the group modulo torsion |
j |
194446685656504/247274285557 |
j-invariant |
L |
9.5291361861003 |
L(r)(E,1)/r! |
Ω |
0.39398302017056 |
Real period |
R |
6.0466667966895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848a1 85696bb1 |
Quadratic twists by: -4 8 |