Atkin-Lehner |
2- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584i |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
624640 |
Modular degree for the optimal curve |
Δ |
-1018094960440864768 = -1 · 212 · 7 · 1110 · 372 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-855744,308252020] |
[a1,a2,a3,a4,a6] |
Generators |
[1108:-26862:1] |
Generators of the group modulo torsion |
j |
-16919824733903238337/248558339951383 |
j-invariant |
L |
3.4026523350851 |
L(r)(E,1)/r! |
Ω |
0.27803941007203 |
Real period |
R |
0.61190108521036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849a1 |
Quadratic twists by: -4 |