Atkin-Lehner |
3- 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467o |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
283392 |
Modular degree for the optimal curve |
Δ |
-120104073178011 = -1 · 36 · 134 · 193 · 292 |
Discriminant |
Eigenvalues |
-2 3- -3 3 -5 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2649,-529880] |
[a1,a2,a3,a4,a6] |
Generators |
[193:-2480:1] [112:760:1] |
Generators of the group modulo torsion |
j |
-2819954225152/164751815059 |
j-invariant |
L |
4.6387439042561 |
L(r)(E,1)/r! |
Ω |
0.25894952006847 |
Real period |
R |
0.74640414842093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7163b1 |
Quadratic twists by: -3 |