Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450y |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-18097426093500 = -1 · 22 · 312 · 53 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4665,165825] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:265:1] |
Generators of the group modulo torsion |
j |
89789007741139/144779408748 |
j-invariant |
L |
3.1172272394729 |
L(r)(E,1)/r! |
Ω |
0.47067560899757 |
Real period |
R |
3.3114391098154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450dd1 |
Quadratic twists by: 5 |