Atkin-Lehner |
2- 3- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370t |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
551367475200 = 220 · 33 · 52 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11296,459776] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:992:1] |
Generators of the group modulo torsion |
j |
159404349062435329/551367475200 |
j-invariant |
L |
7.4987864979565 |
L(r)(E,1)/r! |
Ω |
0.92679166179534 |
Real period |
R |
0.26970414197261 |
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 |
70110w1 116850m1 |
Quadratic twists by: -3 5 |