Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7038k |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-6430698749952 = -1 · 214 · 310 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2210,-127839] |
[a1,a2,a3,a4,a6] |
Generators |
[89:567:1] |
Generators of the group modulo torsion |
j |
-1636774161625/8821260288 |
j-invariant |
L |
5.9819209402431 |
L(r)(E,1)/r! |
Ω |
0.31315308976708 |
Real period |
R |
0.68222233968381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56304bd1 2346d1 119646cj1 |
Quadratic twists by: -4 -3 17 |