Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050s |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-6306433200000000 = -1 · 210 · 311 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35883,2775541] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1603:1] |
Generators of the group modulo torsion |
j |
17943021455/22146048 |
j-invariant |
L |
5.4216197131754 |
L(r)(E,1)/r! |
Ω |
0.28384973511384 |
Real period |
R |
1.5916930223074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350n1 40050bc1 |
Quadratic twists by: -3 5 |