Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450a |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-41502703125000 = -1 · 23 · 3 · 59 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8500,75000] |
[a1,a2,a3,a4,a6] |
Generators |
[475:10325:1] |
Generators of the group modulo torsion |
j |
4345908989759/2656173000 |
j-invariant |
L |
2.7896386263997 |
L(r)(E,1)/r! |
Ω |
0.39656959652709 |
Real period |
R |
0.87930298064433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bj1 |
Quadratic twists by: 5 |