Atkin-Lehner |
5+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68425d |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-968966425 = -1 · 52 · 73 · 173 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,238,441] |
[a1,a2,a3,a4,a6] |
Generators |
[0:21:1] [8:49:1] |
Generators of the group modulo torsion |
j |
59495995935/38758657 |
j-invariant |
L |
11.993728431382 |
L(r)(E,1)/r! |
Ω |
0.97884299518963 |
Real period |
R |
4.0843214864656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68425h1 |
Quadratic twists by: 5 |