Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640f |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-242116646400 = -1 · 29 · 39 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-27594] |
[a1,a2,a3,a4,a6] |
Generators |
[1257:44550:1] |
Generators of the group modulo torsion |
j |
-14886936/24025 |
j-invariant |
L |
6.2825672040812 |
L(r)(E,1)/r! |
Ω |
0.39188054357521 |
Real period |
R |
4.0079606573154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640e2 89280dg2 44640z2 |
Quadratic twists by: -4 8 -3 |