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 |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-52344812736 = -1 · 26 · 316 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,-8282] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1737:1] |
Generators of the group modulo torsion |
j |
841232384/1121931 |
j-invariant |
L |
4.7416925565224 |
L(r)(E,1)/r! |
Ω |
0.59860384533613 |
Real period |
R |
3.9606265424672 |
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 |
10944z1 2736s1 3648be1 |
Quadratic twists by: -4 8 -3 |