Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bc |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
42849554202 = 2 · 37 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46422,3861378] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:1347:1] |
Generators of the group modulo torsion |
j |
531373116625/2058 |
j-invariant |
L |
3.5921685428463 |
L(r)(E,1)/r! |
Ω |
1.002653584737 |
Real period |
R |
1.7913308232916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7098ba2 21294ca2 |
Quadratic twists by: -3 13 |