Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21658z |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-6969024608 = -1 · 25 · 73 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -1 -4 7- -5 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,475,-309] |
[a1,a2,a3,a4,a6] |
Generators |
[3:32:1] [27:-196:1] |
Generators of the group modulo torsion |
j |
34550415593/20317856 |
j-invariant |
L |
7.4392230783843 |
L(r)(E,1)/r! |
Ω |
0.78017313734273 |
Real period |
R |
0.15892248191052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21658u1 |
Quadratic twists by: -7 |