Atkin-Lehner |
2+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64130c |
Isogeny class |
Conductor |
64130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1322009680640 = -1 · 28 · 5 · 117 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11- 3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1086,-53484] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4697:1] |
Generators of the group modulo torsion |
j |
80062991/746240 |
j-invariant |
L |
4.5778247902924 |
L(r)(E,1)/r! |
Ω |
0.42413820298766 |
Real period |
R |
1.349154814954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830c1 |
Quadratic twists by: -11 |