Atkin-Lehner |
2+ 7- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64792c |
Isogeny class |
Conductor |
64792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-754697216 = -1 · 210 · 72 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,1312] |
[a1,a2,a3,a4,a6] |
Generators |
[12:52:1] |
Generators of the group modulo torsion |
j |
-7086244/737009 |
j-invariant |
L |
7.759565100242 |
L(r)(E,1)/r! |
Ω |
1.3132825803809 |
Real period |
R |
0.73856582881876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584b1 |
Quadratic twists by: -4 |