Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232bv |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
3773952 |
Modular degree for the optimal curve |
Δ |
-3.9077006705648E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24226701,-83300768462] |
[a1,a2,a3,a4,a6] |
Generators |
[2889:103936:1] |
Generators of the group modulo torsion |
j |
526646344431378309263/1308681048044740608 |
j-invariant |
L |
6.9370237080527 |
L(r)(E,1)/r! |
Ω |
0.040471709460139 |
Real period |
R |
1.0202634960773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3654k1 116928eg1 9744r1 |
Quadratic twists by: -4 8 -3 |