Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8712a |
Isogeny class |
Conductor |
8712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
65192537760768 = 210 · 33 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11979,322102] |
[a1,a2,a3,a4,a6] |
Generators |
[26:168:1] |
Generators of the group modulo torsion |
j |
2916 |
j-invariant |
L |
4.6154420587322 |
L(r)(E,1)/r! |
Ω |
0.57008737089234 |
Real period |
R |
4.0480128962581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17424a1 69696d1 8712p1 8712o1 |
Quadratic twists by: -4 8 -3 -11 |