Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352x |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-161706163342749696 = -1 · 212 · 32 · 116 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 11- 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8499685,-9535078067] |
[a1,a2,a3,a4,a6] |
Generators |
[436140501658895240319471930231447230816772769784467608500:41909220545614004301733227523570286115643755705984756072399:42913958182976469379787617481610528625783432630859375] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
7.9245637644817 |
L(r)(E,1)/r! |
Ω |
0.044209823897032 |
Real period |
R |
89.624466531903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6897g2 912f2 |
Quadratic twists by: -4 -11 |