Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294ch |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
19581217881013152 = 25 · 37 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 1 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74561,-3991503] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1626:1] |
Generators of the group modulo torsion |
j |
77086633/32928 |
j-invariant |
L |
6.755123507204 |
L(r)(E,1)/r! |
Ω |
0.30025365213111 |
Real period |
R |
0.37496760151837 |
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 |
7098a1 21294bg1 |
Quadratic twists by: -3 13 |