Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050bm |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-36951757031250 = -1 · 2 · 312 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -1 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8320,12197] |
[a1,a2,a3,a4,a6] |
Generators |
[3285822:112875929:405224] |
Generators of the group modulo torsion |
j |
223694375/129762 |
j-invariant |
L |
9.4323784340485 |
L(r)(E,1)/r! |
Ω |
0.39069638718387 |
Real period |
R |
12.0712383624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350j1 40050l1 |
Quadratic twists by: -3 5 |