Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944bt |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1039723874496 = -1 · 26 · 38 · 195 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158052,-24185162] |
[a1,a2,a3,a4,a6] |
Generators |
[999908359325:-23897380164309:1242296875] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
4.7416925565224 |
L(r)(E,1)/r! |
Ω |
0.11972076906723 |
Real period |
R |
19.803132712336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10944z2 2736s2 3648be2 |
Quadratic twists by: -4 8 -3 |