Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294k |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-15932704244341248 = -1 · 29 · 33 · 79 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135147,20098053] |
[a1,a2,a3,a4,a6] |
j |
-354003515818875/20661046784 |
j-invariant |
L |
2.3201475562907 |
L(r)(E,1)/r! |
Ω |
0.38669125938179 |
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 |
21294bw2 21294bp1 |
Quadratic twists by: -3 13 |