Atkin-Lehner |
2- 5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53720d |
Isogeny class |
Conductor |
53720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-4559624672000 = -1 · 28 · 53 · 172 · 793 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 5 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1561,105965] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1343:1] |
Generators of the group modulo torsion |
j |
-1644260568064/17811033875 |
j-invariant |
L |
5.4800779613679 |
L(r)(E,1)/r! |
Ω |
0.65887028564827 |
Real period |
R |
0.69311543319258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107440a1 |
Quadratic twists by: -4 |