Atkin-Lehner |
3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475b |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-80915179921875 = -1 · 33 · 57 · 132 · 613 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2467,-431032] |
[a1,a2,a3,a4,a6] |
Generators |
[1974:-9926:27] [112:1112:1] |
Generators of the group modulo torsion |
j |
106227040256/5178571515 |
j-invariant |
L |
7.4177716919614 |
L(r)(E,1)/r! |
Ω |
0.29163946632339 |
Real period |
R |
1.0597805036295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11895j1 |
Quadratic twists by: 5 |