Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322be |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-7616125664 = -1 · 25 · 77 · 172 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 0 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,6885] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-54:1] |
Generators of the group modulo torsion |
j |
-610929/224 |
j-invariant |
L |
4.0317074784766 |
L(r)(E,1)/r! |
Ω |
1.2409868657948 |
Real period |
R |
0.16243957086099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046m1 28322bk1 |
Quadratic twists by: -7 17 |