Atkin-Lehner |
7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46529a |
Isogeny class |
Conductor |
46529 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
66603256935607 = 77 · 172 · 234 |
Discriminant |
Eigenvalues |
1 1 -2 7+ -6 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31482,-2116431] |
[a1,a2,a3,a4,a6] |
Generators |
[20667:544574:27] |
Generators of the group modulo torsion |
j |
11939688120769273/230461096663 |
j-invariant |
L |
4.1822320796036 |
L(r)(E,1)/r! |
Ω |
0.3588350500443 |
Real period |
R |
5.8275133366837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46529g1 |
Quadratic twists by: 17 |