Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432bb |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-44109859094784 = -1 · 28 · 36 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7628,188140] |
[a1,a2,a3,a4,a6] |
Generators |
[233224:5067825:512] |
Generators of the group modulo torsion |
j |
1629561008/1464561 |
j-invariant |
L |
6.237833598057 |
L(r)(E,1)/r! |
Ω |
0.41783179842445 |
Real period |
R |
7.4645271371409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24108g2 13776r2 |
Quadratic twists by: -4 -7 |