Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248v |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
8437676843810816 = 214 · 72 · 1015 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 0 5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50981,-297283] |
[a1,a2,a3,a4,a6] |
j |
894411431812096/514994924549 |
j-invariant |
L |
2.7667689137009 |
L(r)(E,1)/r! |
Ω |
0.34584611421329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248l1 11312e1 |
Quadratic twists by: -4 8 |