Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658v |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-93185537536 = -1 · 29 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17102,-868085] |
[a1,a2,a3,a4,a6] |
j |
-4701947389777/792064 |
j-invariant |
L |
3.7572995221306 |
L(r)(E,1)/r! |
Ω |
0.20873886234059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094h1 |
Quadratic twists by: -7 |