Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42848a |
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 |
[40:214:1] |
Generators of the group modulo torsion |
j |
194446685656504/247274285557 |
j-invariant |
L |
5.1281107460124 |
L(r)(E,1)/r! |
Ω |
0.31367859154755 |
Real period |
R |
4.0870742251665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848j1 85696v1 |
Quadratic twists by: -4 8 |