Atkin-Lehner |
2+ 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290k |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
58895567078400 = 210 · 314 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38970,-2928204] |
[a1,a2,a3,a4,a6] |
Generators |
[471:8877:1] |
Generators of the group modulo torsion |
j |
8978290843324321/80789529600 |
j-invariant |
L |
4.1817426816503 |
L(r)(E,1)/r! |
Ω |
0.33997912606479 |
Real period |
R |
3.074999581629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bo1 |
Quadratic twists by: -3 |