Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bj |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3342049826500 = 22 · 53 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47152,3951756] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1808:1] |
Generators of the group modulo torsion |
j |
52355598021/15092 |
j-invariant |
L |
2.9798589943465 |
L(r)(E,1)/r! |
Ω |
0.77652126587314 |
Real period |
R |
0.9593616830918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42350db1 3850x1 |
Quadratic twists by: 5 -11 |