Atkin-Lehner |
2+ 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122786b |
Isogeny class |
Conductor |
122786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-20147855528912 = -1 · 24 · 297 · 73 |
Discriminant |
Eigenvalues |
2+ 1 2 0 0 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90005,-10402832] |
[a1,a2,a3,a4,a6] |
j |
-135559106353/33872 |
j-invariant |
L |
1.1025196779447 |
L(r)(E,1)/r! |
Ω |
0.13781515186588 |
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 |
4234a1 |
Quadratic twists by: 29 |