Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
60564l |
Isogeny class |
Conductor |
60564 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
2180304 = 24 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,-64] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
7340032/2781 |
j-invariant |
L |
6.5780910446043 |
L(r)(E,1)/r! |
Ω |
1.993842457503 |
Real period |
R |
1.0997343378886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60564a1 |
Quadratic twists by: -7 |