Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698r |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.2647293465471E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-376921900,-2815700595094] |
[a1,a2,a3,a4,a6] |
Generators |
[61075254719014991155297548860074711618195777323:23516298928303904066780487377780860282063358307565:403791555100444626412746518578589498560507] |
Generators of the group modulo torsion |
j |
3342887139776073669969553/1278380674753560576 |
j-invariant |
L |
4.5224094264569 |
L(r)(E,1)/r! |
Ω |
0.034264679918842 |
Real period |
R |
65.992290562301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50094cj2 1518s2 |
Quadratic twists by: -3 -11 |