Atkin-Lehner |
2+ 5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bk |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-168048272750750 = -1 · 2 · 53 · 78 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 3 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14722,-924614] |
[a1,a2,a3,a4,a6] |
Generators |
[159:778:1] |
Generators of the group modulo torsion |
j |
-2823129061973037/1344386182006 |
j-invariant |
L |
3.394910025302 |
L(r)(E,1)/r! |
Ω |
0.211880653303 |
Real period |
R |
1.0014216482396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000165924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cp1 |
Quadratic twists by: 5 |