Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
109551i |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1923264 |
Modular degree for the optimal curve |
Δ |
-284090967347040243 = -1 · 33 · 132 · 538 |
Discriminant |
Eigenvalues |
-1 3- -2 -1 2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4184064,-3294615357] |
[a1,a2,a3,a4,a6] |
Generators |
[86142:8721009:8] |
Generators of the group modulo torsion |
j |
-130110312097/4563 |
j-invariant |
L |
3.292908216804 |
L(r)(E,1)/r! |
Ω |
0.052779960992033 |
Real period |
R |
3.4660758242568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999222855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109551a1 |
Quadratic twists by: 53 |