Atkin-Lehner |
2- 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816u |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1.6724237034404E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -1 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783912,1985627932] |
[a1,a2,a3,a4,a6] |
Generators |
[9926:985986:1] |
Generators of the group modulo torsion |
j |
-285468475869159424/8961461030952099 |
j-invariant |
L |
8.7051328995251 |
L(r)(E,1)/r! |
Ω |
0.12487704715392 |
Real period |
R |
2.9045679662452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21204a1 28272l1 |
Quadratic twists by: -4 -3 |