Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322g |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-5882712279279066112 = -1 · 210 · 77 · 178 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,445777,22410725] |
[a1,a2,a3,a4,a6] |
j |
3449795831/2071552 |
j-invariant |
L |
5.2835376522603 |
L(r)(E,1)/r! |
Ω |
0.14676493478505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046c1 1666g1 |
Quadratic twists by: -7 17 |