Atkin-Lehner |
2- 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464q |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-383277312 = -1 · 28 · 33 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-846] |
[a1,a2,a3,a4,a6] |
Generators |
[858:25134:1] |
Generators of the group modulo torsion |
j |
18522000/55451 |
j-invariant |
L |
3.5365475003682 |
L(r)(E,1)/r! |
Ω |
0.86666248755162 |
Real period |
R |
4.0806514708927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998466671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28116b2 112464s2 |
Quadratic twists by: -4 -3 |