Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840i |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
141134400 = 26 · 36 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-333,2268] |
[a1,a2,a3,a4,a6] |
Generators |
[1:44:1] |
Generators of the group modulo torsion |
j |
87528384/3025 |
j-invariant |
L |
4.6380670001091 |
L(r)(E,1)/r! |
Ω |
1.8264403948954 |
Real period |
R |
1.269701166562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840s1 31680bc2 1760j1 79200du1 |
Quadratic twists by: -4 8 -3 5 |