Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2736b |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7276096512 = -1 · 210 · 39 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,405,-2646] |
[a1,a2,a3,a4,a6] |
Generators |
[25:152:1] |
Generators of the group modulo torsion |
j |
364500/361 |
j-invariant |
L |
3.2526713342321 |
L(r)(E,1)/r! |
Ω |
0.72057512789116 |
Real period |
R |
1.1284983370684 |
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 |
1368b2 10944bq2 2736a2 68400b2 |
Quadratic twists by: -4 8 -3 5 |