Atkin-Lehner |
2- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
20200j |
Isogeny class |
Conductor |
20200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
318781250000 = 24 · 59 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4250,103125] |
[a1,a2,a3,a4,a6] |
Generators |
[6:279:1] [26:101:1] |
Generators of the group modulo torsion |
j |
271669248/10201 |
j-invariant |
L |
6.730037287355 |
L(r)(E,1)/r! |
Ω |
0.95845363492864 |
Real period |
R |
3.5108830735748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40400i1 20200e1 |
Quadratic twists by: -4 5 |