Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215x |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3132864 |
Modular degree for the optimal curve |
Δ |
-5.9821547503351E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-541025,402594233] |
[a1,a2,a3,a4,a6] |
Generators |
[139:18167:1] |
Generators of the group modulo torsion |
j |
-12845056/43875 |
j-invariant |
L |
5.6925348134268 |
L(r)(E,1)/r! |
Ω |
0.1730525237049 |
Real period |
R |
2.7412365413836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215bs1 9555b1 |
Quadratic twists by: -7 13 |