Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600bq |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
126536800000000000 = 214 · 511 · 13 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -4 13- 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1552408,-743772688] |
[a1,a2,a3,a4,a6] |
j |
6464897360855569/1977137500 |
j-invariant |
L |
1.6230712228693 |
L(r)(E,1)/r! |
Ω |
0.13525584252351 |
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 |
14950e1 23920f1 |
Quadratic twists by: -4 5 |