Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248w |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15104 |
Modular degree for the optimal curve |
Δ |
-723968 = -1 · 210 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3 -4 7+ 2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,-40] |
[a1,a2,a3,a4,a6] |
j |
55296/707 |
j-invariant |
L |
2.7993979171073 |
L(r)(E,1)/r! |
Ω |
1.399698958751 |
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 |
45248m1 11312f1 |
Quadratic twists by: -4 8 |