Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600cz |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-155700403200000000 = -1 · 216 · 310 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -1 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54208,-19614412] |
[a1,a2,a3,a4,a6] |
Generators |
[458:7200:1] |
Generators of the group modulo torsion |
j |
-11010369505/97312752 |
j-invariant |
L |
8.1881656502977 |
L(r)(E,1)/r! |
Ω |
0.13708263201193 |
Real period |
R |
0.49776337544631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450ba1 123600y1 |
Quadratic twists by: -4 5 |