Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640dd |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-75167170560 = -1 · 220 · 35 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1055,-97] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-192:1] |
Generators of the group modulo torsion |
j |
494913671/286740 |
j-invariant |
L |
7.094144426013 |
L(r)(E,1)/r! |
Ω |
0.64772464528579 |
Real period |
R |
0.54762038758942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640i1 14160l1 |
Quadratic twists by: -4 8 |