Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513n |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-19034946395091 = -1 · 37 · 116 · 173 |
Discriminant |
Eigenvalues |
0 3- -3 4 11- 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-64614,-6325245] |
[a1,a2,a3,a4,a6] |
Generators |
[2386:7727:8] |
Generators of the group modulo torsion |
j |
-23100424192/14739 |
j-invariant |
L |
3.6597809032389 |
L(r)(E,1)/r! |
Ω |
0.14971705751098 |
Real period |
R |
6.1111622217305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6171g2 153b2 |
Quadratic twists by: -3 -11 |