Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bi |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
680681711924614764 = 22 · 318 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2975868,-1974774060] |
[a1,a2,a3,a4,a6] |
Generators |
[11203:1165146:1] |
Generators of the group modulo torsion |
j |
828279937799497/193444524 |
j-invariant |
L |
3.1468838392571 |
L(r)(E,1)/r! |
Ω |
0.11494821156882 |
Real period |
R |
6.8441339719608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098bd3 1638q3 |
Quadratic twists by: -3 13 |