Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368j |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
835200 |
Modular degree for the optimal curve |
Δ |
746863892579469312 = 211 · 36 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -5 0 -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-625984,186249760] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:-45414:1] [357:2854:1] |
Generators of the group modulo torsion |
j |
26478914/729 |
j-invariant |
L |
5.8099176933042 |
L(r)(E,1)/r! |
Ω |
0.28355853524795 |
Real period |
R |
1.7074421947908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20184r1 121104z1 40368o1 |
Quadratic twists by: -4 -3 29 |