Atkin-Lehner |
2- 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40626r |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-5.4149435139653E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20333830,2810984249] |
[a1,a2,a3,a4,a6] |
Generators |
[2004:3756871:64] |
Generators of the group modulo torsion |
j |
1275421603247824768382375/742790605482211610112 |
j-invariant |
L |
8.668533606441 |
L(r)(E,1)/r! |
Ω |
0.055776338076971 |
Real period |
R |
2.1585551192572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13542e3 |
Quadratic twists by: -3 |