Atkin-Lehner |
3- 5- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165k |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
7631919225 = 38 · 52 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-527,2126] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:34:1] [-138:677:8] |
Generators of the group modulo torsion |
j |
22164361129/10469025 |
j-invariant |
L |
7.9437212353784 |
L(r)(E,1)/r! |
Ω |
1.1766316195563 |
Real period |
R |
3.3756194820122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055g1 |
Quadratic twists by: -3 |