Atkin-Lehner |
2- 3+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672bo |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.1919401644064E+27 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20280031584,-1111596356471040] |
[a1,a2,a3,a4,a6] |
Generators |
[36955505:-17108811174:125] |
Generators of the group modulo torsion |
j |
225200652891919039722467527495777/779282266700773756956672 |
j-invariant |
L |
5.1194764383219 |
L(r)(E,1)/r! |
Ω |
0.012651222332469 |
Real period |
R |
8.4304707846351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999893855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834q4 |
Quadratic twists by: -4 |