Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080t |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-330548428800 = -1 · 214 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 1 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1728,-864] |
[a1,a2,a3,a4,a6] |
Generators |
[66:945:8] |
Generators of the group modulo torsion |
j |
1769472/1025 |
j-invariant |
L |
6.3076777123197 |
L(r)(E,1)/r! |
Ω |
0.5727280017696 |
Real period |
R |
2.7533478560803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080dq1 7380b1 118080d1 |
Quadratic twists by: -4 8 -3 |