Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bu |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15079680 |
Modular degree for the optimal curve |
Δ |
-2.6841275272952E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,41466437,227106694781] |
[a1,a2,a3,a4,a6] |
Generators |
[322792592017558085:46563704012175643836:17999147091743] |
Generators of the group modulo torsion |
j |
504654146753383024121879/1717841617468945312500 |
j-invariant |
L |
9.0847627933856 |
L(r)(E,1)/r! |
Ω |
0.047298693423956 |
Real period |
R |
24.009021538807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090q1 |
Quadratic twists by: 5 |