Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bu |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-909619200 = -1 · 212 · 33 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,-819] |
[a1,a2,a3,a4,a6] |
Generators |
[58:265:8] |
Generators of the group modulo torsion |
j |
282300416/222075 |
j-invariant |
L |
6.1131356842148 |
L(r)(E,1)/r! |
Ω |
0.87563238701026 |
Real period |
R |
3.4906975678615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4935h1 |
Quadratic twists by: -4 |