Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872a |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-162269184 = -1 · 211 · 3 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ -6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-608] |
[a1,a2,a3,a4,a6] |
Generators |
[12:28:1] |
Generators of the group modulo torsion |
j |
-98/33 |
j-invariant |
L |
3.5568906833179 |
L(r)(E,1)/r! |
Ω |
0.81395538716157 |
Real period |
R |
0.36415700616811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12936w1 103488he1 77616bg1 25872o1 |
Quadratic twists by: -4 8 -3 -7 |