Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fn |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
318504960 |
Modular degree for the optimal curve |
Δ |
1.5762190237452E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136273994555,19362808816885419] |
[a1,a2,a3,a4,a6] |
Generators |
[1461843983:-747474828:6859] |
Generators of the group modulo torsion |
j |
3263224124812796801735447265625/1837810787484672 |
j-invariant |
L |
12.597638707961 |
L(r)(E,1)/r! |
Ω |
0.043912013359975 |
Real period |
R |
7.1720913117069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999428592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042k1 18018bs1 |
Quadratic twists by: -3 -7 |