Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bc |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
66564000000000 = 211 · 32 · 59 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46208,-3818412] |
[a1,a2,a3,a4,a6] |
Generators |
[1564:61254:1] |
Generators of the group modulo torsion |
j |
2727876058/16641 |
j-invariant |
L |
8.0642170588525 |
L(r)(E,1)/r! |
Ω |
0.32574597405169 |
Real period |
R |
6.1890381625649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800ba2 51600s2 |
Quadratic twists by: -4 5 |