Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240o |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-271656681472000 = -1 · 233 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11- -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2437,-791638] |
[a1,a2,a3,a4,a6] |
Generators |
[674:865:8] |
Generators of the group modulo torsion |
j |
390778221231/66322432000 |
j-invariant |
L |
3.3365915784193 |
L(r)(E,1)/r! |
Ω |
0.25981002973985 |
Real period |
R |
6.4212139572907 |
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 |
2530e1 80960bw1 101200bs1 |
Quadratic twists by: -4 8 5 |