Atkin-Lehner |
3- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28305k |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-584639775 = -1 · 37 · 52 · 172 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 0 2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234,1863] |
[a1,a2,a3,a4,a6] |
j |
-1948441249/801975 |
j-invariant |
L |
3.0626702992235 |
L(r)(E,1)/r! |
Ω |
1.5313351496114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435f1 |
Quadratic twists by: -3 |