Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545q |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-5.4488419282126E+27 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 -3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-431053975,4947739126533] |
[a1,a2,a3,a4,a6] |
Generators |
[59559:13803737:1] |
Generators of the group modulo torsion |
j |
-188276913621702042812416/115819744734137971875 |
j-invariant |
L |
3.1827074298383 |
L(r)(E,1)/r! |
Ω |
0.039680488429103 |
Real period |
R |
4.0104187223507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998607362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6555n2 |
Quadratic twists by: -19 |