Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050g |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
937319040000000000 = 216 · 36 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-816125,279592125] |
[a1,a2,a3,a4,a6] |
Generators |
[-710:22755:1] |
Generators of the group modulo torsion |
j |
3847463977937161681/59988418560000 |
j-invariant |
L |
4.139420105522 |
L(r)(E,1)/r! |
Ω |
0.27978879345998 |
Real period |
R |
1.8493503860248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cz1 8610s1 |
Quadratic twists by: -3 5 |