Atkin-Lehner |
2+ 3+ 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926c |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
61742741647604472 = 23 · 37 · 710 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1223910,520514748] |
[a1,a2,a3,a4,a6] |
Generators |
[222341:-32775:343] |
Generators of the group modulo torsion |
j |
202755533795488568427625/61742741647604472 |
j-invariant |
L |
3.1227139605019 |
L(r)(E,1)/r! |
Ω |
0.34277267306768 |
Real period |
R |
9.1101601902943 |
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 |
50778bf2 118482z2 |
Quadratic twists by: -3 -7 |