Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bc |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
31481305128 = 23 · 39 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:60:1] |
Generators of the group modulo torsion |
j |
2640625/1512 |
j-invariant |
L |
3.5921685428463 |
L(r)(E,1)/r! |
Ω |
1.002653584737 |
Real period |
R |
0.59711027443052 |
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 |
7098ba1 21294ca1 |
Quadratic twists by: -3 13 |