Atkin-Lehner |
2+ 3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21390g |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-441874985512320000 = -1 · 210 · 310 · 54 · 233 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,78072,-30853802] |
[a1,a2,a3,a4,a6] |
Generators |
[329:5355:1] |
Generators of the group modulo torsion |
j |
52628091795189183239/441874985512320000 |
j-invariant |
L |
5.9277278334488 |
L(r)(E,1)/r! |
Ω |
0.14734365665588 |
Real period |
R |
0.33525523301471 |
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 |
64170y1 106950bp1 |
Quadratic twists by: -3 5 |