Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648r |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
70643890520064 = 228 · 36 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-350209,-79885729] |
[a1,a2,a3,a4,a6] |
Generators |
[11050:364287:8] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
3.797823553099 |
L(r)(E,1)/r! |
Ω |
0.19625377223757 |
Real period |
R |
6.4505317270226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3648v2 114c2 10944bg2 91200v2 |
Quadratic twists by: -4 8 -3 5 |