Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080n |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
229594305600 = 26 · 34 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3670,-81200] |
[a1,a2,a3,a4,a6] |
Generators |
[4970:123165:8] |
Generators of the group modulo torsion |
j |
48228544/2025 |
j-invariant |
L |
7.3409305392329 |
L(r)(E,1)/r! |
Ω |
0.61496100134297 |
Real period |
R |
5.9686146952393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58080bd1 116160ib2 480f1 |
Quadratic twists by: -4 8 -11 |