Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350bb |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-27711326643750000 = -1 · 24 · 316 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 -1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30492,-8259584] |
[a1,a2,a3,a4,a6] |
Generators |
[86660:73688:343] |
Generators of the group modulo torsion |
j |
-11010369505/97312752 |
j-invariant |
L |
5.1233994774324 |
L(r)(E,1)/r! |
Ω |
0.15828938898663 |
Real period |
R |
8.0918239533115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450ba1 46350ce1 |
Quadratic twists by: -3 5 |