Atkin-Lehner |
2- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11102g |
Isogeny class |
Conductor |
11102 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
231734444032 = 216 · 73 · 132 · 61 |
Discriminant |
Eigenvalues |
2- -3 -4 7- -3 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3747,86115] |
[a1,a2,a3,a4,a6] |
Generators |
[197:-2738:1] [-29:426:1] |
Generators of the group modulo torsion |
j |
5816558847720321/231734444032 |
j-invariant |
L |
4.9177167131292 |
L(r)(E,1)/r! |
Ω |
0.98333918516487 |
Real period |
R |
0.052094146693842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88816h1 99918k1 77714n1 |
Quadratic twists by: -4 -3 -7 |