Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630u |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-7.3615608190956E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34562586,-88437789084] |
[a1,a2,a3,a4,a6] |
Generators |
[29157738:10687895287:216] |
Generators of the group modulo torsion |
j |
-23817913882369/3840000000 |
j-invariant |
L |
12.884129250504 |
L(r)(E,1)/r! |
Ω |
0.030859569336664 |
Real period |
R |
9.9406760265092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630i2 |
Quadratic twists by: 61 |