Atkin-Lehner |
2- 3+ 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766w |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
4315741248 = 26 · 3 · 73 · 13 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-468,-2475] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:45:1] |
Generators of the group modulo torsion |
j |
11337551394625/4315741248 |
j-invariant |
L |
6.9807060889547 |
L(r)(E,1)/r! |
Ω |
1.0598556661945 |
Real period |
R |
2.1954895405775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298e1 |
Quadratic twists by: -3 |