Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740q |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
16142400 |
Modular degree for the optimal curve |
Δ |
-9.163407730108E+20 |
Discriminant |
Eigenvalues |
2- 2 5- -5 -4 7 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16436450,-25684231723] |
[a1,a2,a3,a4,a6] |
j |
-95114212420864/177482125 |
j-invariant |
L |
4.4983201350489 |
L(r)(E,1)/r! |
Ω |
0.037485990006637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122740r1 |
Quadratic twists by: -19 |