Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194bv |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
1.3039757131694E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12543206,17100867957] |
[a1,a2,a3,a4,a6] |
Generators |
[-343:146331:1] |
Generators of the group modulo torsion |
j |
299379332603866521531673/17887183994093568 |
j-invariant |
L |
8.0836565469024 |
L(r)(E,1)/r! |
Ω |
0.21236949031961 |
Real period |
R |
0.67971632624317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398e1 |
Quadratic twists by: -3 |