Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880j |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
4656960 = 26 · 33 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213,-1192] |
[a1,a2,a3,a4,a6] |
Generators |
[17:10:1] |
Generators of the group modulo torsion |
j |
618470208/2695 |
j-invariant |
L |
7.2224588516485 |
L(r)(E,1)/r! |
Ω |
1.2500244717771 |
Real period |
R |
2.8889269776392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880a1 110880cm1 |
Quadratic twists by: -4 -3 |