Atkin-Lehner |
2+ 3- 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28938g |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-6533968896 = -1 · 210 · 33 · 73 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 6 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1308065,575717780] |
[a1,a2,a3,a4,a6] |
j |
-247520521261519668561673/6533968896 |
j-invariant |
L |
1.4049399743417 |
L(r)(E,1)/r! |
Ω |
0.70246998717054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86814bl1 |
Quadratic twists by: -3 |