Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850bd |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2920289552640000000 = 214 · 316 · 57 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2334042,-1369447884] |
[a1,a2,a3,a4,a6] |
Generators |
[-20929329:-13893048:24389] |
Generators of the group modulo torsion |
j |
123453174678896089/256376586240 |
j-invariant |
L |
3.5532194132419 |
L(r)(E,1)/r! |
Ω |
0.12215930825769 |
Real period |
R |
7.271691907723 |
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 |
7950bp1 4770bb1 |
Quadratic twists by: -3 5 |