Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bi |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
282752000 = 210 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -1 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-250,-1223] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:15:1] [-7:15:1] |
Generators of the group modulo torsion |
j |
6234597/1024 |
j-invariant |
L |
16.477931152776 |
L(r)(E,1)/r! |
Ω |
1.2143977325743 |
Real period |
R |
0.67844046108333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450l1 110450bh1 |
Quadratic twists by: 5 -47 |