Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600cr |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-15570040320000 = -1 · 212 · 310 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4992,134388] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-270:1] [42:-648:1] |
Generators of the group modulo torsion |
j |
5373044975/6082047 |
j-invariant |
L |
13.316627130621 |
L(r)(E,1)/r! |
Ω |
0.46506941034906 |
Real period |
R |
0.23861361409866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999950483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725f1 123600bc1 |
Quadratic twists by: -4 5 |