Atkin-Lehner |
2- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
40400q |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
15781250000 = 24 · 510 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,-1262] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:50:1] [-18:68:1] |
Generators of the group modulo torsion |
j |
112377856/63125 |
j-invariant |
L |
6.2071208875322 |
L(r)(E,1)/r! |
Ω |
1.0236452848294 |
Real period |
R |
6.0637419812529 |
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 |
10100b1 8080i1 |
Quadratic twists by: -4 5 |