Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204c |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1124425472 = 28 · 192 · 233 |
Discriminant |
Eigenvalues |
2- -2 0 -4 4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268,420] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:46:1] |
Generators of the group modulo torsion |
j |
686000/361 |
j-invariant |
L |
2.2038639019473 |
L(r)(E,1)/r! |
Ω |
1.3574804655864 |
Real period |
R |
0.54116528323819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40204k2 |
Quadratic twists by: -23 |