Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18400d |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-60835000000000000 = -1 · 212 · 513 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -2 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2467,11867563] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:3125:1] |
Generators of the group modulo torsion |
j |
25934336/950546875 |
j-invariant |
L |
3.3136387158238 |
L(r)(E,1)/r! |
Ω |
0.27717507033562 |
Real period |
R |
1.4943798480016 |
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 |
18400q1 36800j1 3680h1 |
Quadratic twists by: -4 8 5 |