Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880d |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
23284800 = 26 · 33 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13473,-601928] |
[a1,a2,a3,a4,a6] |
Generators |
[296:4620:1] |
Generators of the group modulo torsion |
j |
156521104308288/13475 |
j-invariant |
L |
6.3234347229246 |
L(r)(E,1)/r! |
Ω |
0.44313237395583 |
Real period |
R |
3.5674637677816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999513725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880m1 110880ci1 |
Quadratic twists by: -4 -3 |