Atkin-Lehner |
2- 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
62480m |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
43985920000 = 213 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11+ -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4760,127600] |
[a1,a2,a3,a4,a6] |
Generators |
[50:110:1] [-28:488:1] |
Generators of the group modulo torsion |
j |
2912566550041/10738750 |
j-invariant |
L |
8.1002314894359 |
L(r)(E,1)/r! |
Ω |
1.1444381534915 |
Real period |
R |
0.22118472131708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7810a1 |
Quadratic twists by: -4 |