Atkin-Lehner |
3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72561k |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
686152930419441 = 32 · 198 · 672 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26902,-1140685] |
[a1,a2,a3,a4,a6] |
Generators |
[-34678:271319:343] |
Generators of the group modulo torsion |
j |
45767461033/14584761 |
j-invariant |
L |
3.2159600003228 |
L(r)(E,1)/r! |
Ω |
0.38216411045311 |
Real period |
R |
8.4151282439269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000197 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3819d2 |
Quadratic twists by: -19 |