Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880ce |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-58683683520000000 = -1 · 212 · 39 · 57 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72792,13891824] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-2700:1] |
Generators of the group modulo torsion |
j |
-529082537472/727890625 |
j-invariant |
L |
7.3996404119064 |
L(r)(E,1)/r! |
Ω |
0.31694296394674 |
Real period |
R |
0.8338183879026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110880cs1 110880g1 |
Quadratic twists by: -4 -3 |