Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605bg |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-4.440404170713E+19 |
Discriminant |
Eigenvalues |
2 -1 5- 7- 3 -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,843050,118122031] |
[a1,a2,a3,a4,a6] |
j |
1305034698752/874503125 |
j-invariant |
L |
2.5443279366837 |
L(r)(E,1)/r! |
Ω |
0.12721640813784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129605p1 5635c1 |
Quadratic twists by: -7 -23 |