Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5194j |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1.5976508514748E+19 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1451014,-699819816] |
[a1,a2,a3,a4,a6] |
Generators |
[1281908:180448089:64] |
Generators of the group modulo torsion |
j |
-2871771293482144201/135798081707008 |
j-invariant |
L |
2.6706418317841 |
L(r)(E,1)/r! |
Ω |
0.068589052997055 |
Real period |
R |
9.7342130962894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41552bt1 46746bk1 129850ce1 742e1 |
Quadratic twists by: -4 -3 5 -7 |