Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032v |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1399000799838208 = -1 · 216 · 79 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168184,26552532] |
[a1,a2,a3,a4,a6] |
Generators |
[212:686:1] |
Generators of the group modulo torsion |
j |
-3183010111/8464 |
j-invariant |
L |
2.5875784758771 |
L(r)(E,1)/r! |
Ω |
0.48167259392287 |
Real period |
R |
1.3430172842112 |
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 |
2254d1 72128bi1 18032s1 |
Quadratic twists by: -4 8 -7 |