Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328y |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-8.7533892061669E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -3 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1937448,-973430508] |
[a1,a2,a3,a4,a6] |
Generators |
[222572:8098194:343] |
Generators of the group modulo torsion |
j |
196360308324344317607/213705791166184512 |
j-invariant |
L |
8.4244141624645 |
L(r)(E,1)/r! |
Ω |
0.085342028610342 |
Real period |
R |
2.3503224946563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666d1 117312by1 87984bs1 |
Quadratic twists by: -4 8 -3 |