Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294cb |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-163945309312512 = -1 · 29 · 36 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10615,447113] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:352:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
7.3239140228828 |
L(r)(E,1)/r! |
Ω |
0.3848658913363 |
Real period |
R |
0.52860505638682 |
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 |
2366a1 1638j1 |
Quadratic twists by: -3 13 |