Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050be |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
8164800 |
Modular degree for the optimal curve |
Δ |
-2.4739440556785E+22 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56336176,-162933589602] |
[a1,a2,a3,a4,a6] |
Generators |
[29942:4984446:1] |
Generators of the group modulo torsion |
j |
-31637763642591525667474825/39583104890855317792 |
j-invariant |
L |
2.9082032353272 |
L(r)(E,1)/r! |
Ω |
0.027551176117188 |
Real period |
R |
3.9094966574207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50050bn1 |
Quadratic twists by: 5 |