Atkin-Lehner |
2+ 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24440c |
Isogeny class |
Conductor |
24440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-254176000000 = -1 · 211 · 56 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1464,-10640] |
[a1,a2,a3,a4,a6] |
Generators |
[777:6398:27] |
Generators of the group modulo torsion |
j |
169324696942/124109375 |
j-invariant |
L |
3.4373704243074 |
L(r)(E,1)/r! |
Ω |
0.55222204542456 |
Real period |
R |
6.2246164433089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48880c2 122200t2 |
Quadratic twists by: -4 5 |