Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480s |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
152680873536000 = 29 · 312 · 53 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17427,-656246] |
[a1,a2,a3,a4,a6] |
Generators |
[698:18090:1] [-42:40:1] |
Generators of the group modulo torsion |
j |
1568173521032/409060125 |
j-invariant |
L |
10.933918703412 |
L(r)(E,1)/r! |
Ω |
0.42355996438439 |
Real period |
R |
4.302389123192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480l2 32160w2 |
Quadratic twists by: -4 -3 |