Atkin-Lehner |
2+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662s |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33523200 |
Modular degree for the optimal curve |
Δ |
4.9724008394404E+19 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 11- -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2214430400,-40108384669248] |
[a1,a2,a3,a4,a6] |
j |
677881381559128996008093489/28067906436416 |
j-invariant |
L |
0.26409942598247 |
L(r)(E,1)/r! |
Ω |
0.022008175771538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242f1 |
Quadratic twists by: -11 |