Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926w |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
498784776659140608 = 218 · 32 · 79 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26068361,-51231492916] |
[a1,a2,a3,a4,a6] |
Generators |
[48251:10512834:1] |
Generators of the group modulo torsion |
j |
1959137275825459221588447625/498784776659140608 |
j-invariant |
L |
4.6091907781553 |
L(r)(E,1)/r! |
Ω |
0.066814562909634 |
Real period |
R |
3.8324901517097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778by5 118482e5 |
Quadratic twists by: -3 -7 |