Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cs |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
3873833683200 = 28 · 36 · 52 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5276,112656] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-428:1] [-74:352:1] |
Generators of the group modulo torsion |
j |
3305951312273/788486400 |
j-invariant |
L |
17.959948151023 |
L(r)(E,1)/r! |
Ω |
0.73720337905642 |
Real period |
R |
0.2537736512693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710ch1 |
Quadratic twists by: 17 |