Atkin-Lehner |
2- 3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464s |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2705546448 = 24 · 39 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540,4131] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1242:1] |
Generators of the group modulo torsion |
j |
55296000/8591 |
j-invariant |
L |
4.3384048207378 |
L(r)(E,1)/r! |
Ω |
1.3762143134901 |
Real period |
R |
3.1524194532124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28116a1 112464q1 |
Quadratic twists by: -4 -3 |