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 |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2213261675718912 = 28 · 39 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-85968,9455616] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:2439:1] |
Generators of the group modulo torsion |
j |
19968681097/628992 |
j-invariant |
L |
3.1468838392571 |
L(r)(E,1)/r! |
Ω |
0.45979284627527 |
Real period |
R |
1.7110334929902 |
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 |
7098bd1 1638q1 |
Quadratic twists by: -3 13 |