Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110124o |
Isogeny class |
Conductor |
110124 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-85668102576 = -1 · 24 · 36 · 75 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1068,-4223] |
[a1,a2,a3,a4,a6] |
Generators |
[6:49:1] |
Generators of the group modulo torsion |
j |
11550212096/7344659 |
j-invariant |
L |
6.9213170749039 |
L(r)(E,1)/r! |
Ω |
0.61841311467875 |
Real period |
R |
0.74613737402955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12236d1 |
Quadratic twists by: -3 |