Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bf |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.5216521124967E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87612296,316536762228] |
[a1,a2,a3,a4,a6] |
Generators |
[-1764139260:215243997606:274625] |
Generators of the group modulo torsion |
j |
-30526075007211889/103499257854 |
j-invariant |
L |
6.2352536692635 |
L(r)(E,1)/r! |
Ω |
0.098914263804949 |
Real period |
R |
7.8796189616766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046a2 121104bt2 1392k2 |
Quadratic twists by: -4 -3 29 |