Atkin-Lehner |
3+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305c |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-33169921875 = -1 · 33 · 59 · 17 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 -5 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2742,55955] |
[a1,a2,a3,a4,a6] |
Generators |
[33:37:1] |
Generators of the group modulo torsion |
j |
-84442736590848/1228515625 |
j-invariant |
L |
2.8488160884112 |
L(r)(E,1)/r! |
Ω |
1.1696427847052 |
Real period |
R |
0.13531273183306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28305a1 |
Quadratic twists by: -3 |