Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294c |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1073866622977512 = 23 · 39 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27312,736568] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:1102:1] |
Generators of the group modulo torsion |
j |
677353174875/322828856 |
j-invariant |
L |
3.1152700782904 |
L(r)(E,1)/r! |
Ω |
0.43763625410288 |
Real period |
R |
3.5592001908943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21294bo1 21294bv2 |
Quadratic twists by: -3 13 |