Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bv |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
1915200 |
Modular degree for the optimal curve |
Δ |
-3.242982912E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1000013,-472881469] |
[a1,a2,a3,a4,a6] |
Generators |
[1879:64532:1] |
Generators of the group modulo torsion |
j |
-11325063173760025/3320814501888 |
j-invariant |
L |
8.5781376377426 |
L(r)(E,1)/r! |
Ω |
0.074361191620783 |
Real period |
R |
3.0357295146872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450bp1 |
Quadratic twists by: 5 |