Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680ce |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2981160000 = 26 · 32 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-390,-1512] |
[a1,a2,a3,a4,a6] |
Generators |
[36:180:1] |
Generators of the group modulo torsion |
j |
102766285504/46580625 |
j-invariant |
L |
7.7716663016805 |
L(r)(E,1)/r! |
Ω |
1.1209559995245 |
Real period |
R |
1.7332674754804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680bq1 87360dv2 |
Quadratic twists by: -4 8 |