Atkin-Lehner |
2- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24050n |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1785919330000000 = -1 · 27 · 57 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 5 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89380,-10461753] |
[a1,a2,a3,a4,a6] |
Generators |
[363:2015:1] |
Generators of the group modulo torsion |
j |
-5053824794819529/114298837120 |
j-invariant |
L |
7.113840706087 |
L(r)(E,1)/r! |
Ω |
0.13787285941042 |
Real period |
R |
1.8427538283427 |
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 |
4810a1 |
Quadratic twists by: 5 |