Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680t |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-39748800 = -1 · 26 · 3 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,70,228] |
[a1,a2,a3,a4,a6] |
Generators |
[6:30:1] |
Generators of the group modulo torsion |
j |
584277056/621075 |
j-invariant |
L |
7.9023975450438 |
L(r)(E,1)/r! |
Ω |
1.3532701340756 |
Real period |
R |
1.4598706766016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680g1 87360ee2 |
Quadratic twists by: -4 8 |