Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040by |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
64767098880 = 215 · 33 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-30864] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:16:1] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
4.0977232691954 |
L(r)(E,1)/r! |
Ω |
0.71947192227137 |
Real period |
R |
1.4238649008911 |
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 |
3630i1 116160iu1 87120fn1 29040cb1 |
Quadratic twists by: -4 8 -3 -11 |