Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
29664i |
Isogeny class |
Conductor |
29664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
123904 |
Modular degree for the optimal curve |
Δ |
-54482685087744 = -1 · 212 · 317 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 4 0 -1 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31116,2142272] |
[a1,a2,a3,a4,a6] |
j |
-1115802998848/18246141 |
j-invariant |
L |
5.0447818238915 |
L(r)(E,1)/r! |
Ω |
0.63059772798637 |
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 |
29664g1 59328bq1 9888b1 |
Quadratic twists by: -4 8 -3 |