Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28322l |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
91917379363735408 = 24 · 77 · 178 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 2 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-205630,-32809472] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:589:1] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
5.5352864936667 |
L(r)(E,1)/r! |
Ω |
0.22557199526631 |
Real period |
R |
3.0673613135863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046g1 28322f1 |
Quadratic twists by: -7 17 |