Atkin-Lehner |
3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59925s |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
583200 |
Modular degree for the optimal curve |
Δ |
-3337749953296875 = -1 · 39 · 56 · 173 · 472 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 3 3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-91308,10947044] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-3596:1] |
Generators of the group modulo torsion |
j |
-5388091135971328/213615997011 |
j-invariant |
L |
4.7876686479137 |
L(r)(E,1)/r! |
Ω |
0.44326301829899 |
Real period |
R |
0.200017882948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397a1 |
Quadratic twists by: 5 |