Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bo |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2.7905560507681E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1671522,-213872431] |
[a1,a2,a3,a4,a6] |
Generators |
[-901:24117:1] |
Generators of the group modulo torsion |
j |
4390070751148408929/2371933506250000 |
j-invariant |
L |
10.633327255555 |
L(r)(E,1)/r! |
Ω |
0.14146349876232 |
Real period |
R |
2.348955592574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005214 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17710d2 |
Quadratic twists by: -7 |