Atkin-Lehner |
2- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49450m |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3863281250000 = -1 · 24 · 512 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 1 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27463,-1756583] |
[a1,a2,a3,a4,a6] |
j |
-146604940216489/247250000 |
j-invariant |
L |
2.9665970842587 |
L(r)(E,1)/r! |
Ω |
0.1854123177603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890c1 |
Quadratic twists by: 5 |