Atkin-Lehner |
3+ 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475g |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1033122568359375 = -1 · 37 · 510 · 13 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2100,1546875] |
[a1,a2,a3,a4,a6] |
Generators |
[3794:231855:1] |
Generators of the group modulo torsion |
j |
65499561791/66119844375 |
j-invariant |
L |
4.7762989731141 |
L(r)(E,1)/r! |
Ω |
0.38488086849841 |
Real period |
R |
6.2049056789356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895i1 |
Quadratic twists by: 5 |