Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386y |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1766348011008 = 29 · 39 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 7 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22574,1309501] |
[a1,a2,a3,a4,a6] |
Generators |
[73:179:1] |
Generators of the group modulo torsion |
j |
26918309691/37376 |
j-invariant |
L |
12.13663711781 |
L(r)(E,1)/r! |
Ω |
0.83607766900242 |
Real period |
R |
0.80645332681912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386c1 64386bc1 |
Quadratic twists by: -3 -7 |