Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350o |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-5807199296070000000 = -1 · 27 · 312 · 57 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -3 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-291042,130820116] |
[a1,a2,a3,a4,a6] |
j |
-239355822010969/509822709120 |
j-invariant |
L |
1.7051428982768 |
L(r)(E,1)/r! |
Ω |
0.2131428622731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450v1 9270z1 |
Quadratic twists by: -3 5 |