Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840k |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
17641800000 = 26 · 36 · 55 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37533,-2798768] |
[a1,a2,a3,a4,a6] |
Generators |
[78701:280566:343] |
Generators of the group modulo torsion |
j |
125330290485184/378125 |
j-invariant |
L |
4.8572153072099 |
L(r)(E,1)/r! |
Ω |
0.34300173244049 |
Real period |
R |
7.080453023736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15840b1 31680df2 1760l1 79200dw1 |
Quadratic twists by: -4 8 -3 5 |