Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064t |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-10832480815104 = -1 · 211 · 33 · 134 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4112,186720] |
[a1,a2,a3,a4,a6] |
Generators |
[31:300:1] |
Generators of the group modulo torsion |
j |
-131487746/185193 |
j-invariant |
L |
7.0998578606642 |
L(r)(E,1)/r! |
Ω |
0.64833468276794 |
Real period |
R |
3.650304926612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77064h1 |
Quadratic twists by: 13 |