Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cd |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
129862235559297024 = 222 · 36 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4290064,-3418665536] |
[a1,a2,a3,a4,a6] |
Generators |
[277233448:6694920960:103823] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
4.5716875273405 |
L(r)(E,1)/r! |
Ω |
0.10490205379642 |
Real period |
R |
10.895133512374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5586bb2 912k2 |
Quadratic twists by: -4 -7 |