Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502cc |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205920 |
Modular degree for the optimal curve |
Δ |
-152393220342 = -1 · 2 · 36 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4379,-111999] |
[a1,a2,a3,a4,a6] |
Generators |
[171786576023583118:2919136713530087337:534319900900136] |
Generators of the group modulo torsion |
j |
-7189057/118 |
j-invariant |
L |
16.062015522783 |
L(r)(E,1)/r! |
Ω |
0.29316373126743 |
Real period |
R |
27.394274614635 |
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 |
14278b1 1062e1 |
Quadratic twists by: -3 -11 |