Atkin-Lehner |
2+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
110894f |
Isogeny class |
Conductor |
110894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-56777728 = -1 · 210 · 7 · 892 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32,366] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:19:1] |
Generators of the group modulo torsion |
j |
-437257/7168 |
j-invariant |
L |
2.8570523460461 |
L(r)(E,1)/r! |
Ω |
1.6743996996563 |
Real period |
R |
0.85315720790977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110894l1 |
Quadratic twists by: 89 |