Atkin-Lehner |
2- 7- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784s |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-3878399548156542976 = -1 · 219 · 72 · 192 · 535 |
Discriminant |
Eigenvalues |
2- -2 1 7- -5 6 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165320,98164852] |
[a1,a2,a3,a4,a6] |
Generators |
[222:-8512:1] |
Generators of the group modulo torsion |
j |
-121995154391188681/946874889686656 |
j-invariant |
L |
5.1691328880489 |
L(r)(E,1)/r! |
Ω |
0.21277607088748 |
Real period |
R |
1.5183605997177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14098a1 |
Quadratic twists by: -4 |