Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780b |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-463015182960 = -1 · 24 · 33 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3993,-102487] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1089:1] |
Generators of the group modulo torsion |
j |
-76032/5 |
j-invariant |
L |
4.5949766074438 |
L(r)(E,1)/r! |
Ω |
0.29915640654673 |
Real period |
R |
0.853321114323 |
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 |
87120cv1 21780d1 108900b1 21780a1 |
Quadratic twists by: -4 -3 5 -11 |