Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62920t |
Isogeny class |
Conductor |
62920 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
48592451564800 = 28 · 52 · 112 · 137 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10556,252100] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:-5915:8] [8:410:1] |
Generators of the group modulo torsion |
j |
4199887549264/1568712925 |
j-invariant |
L |
7.5054409009031 |
L(r)(E,1)/r! |
Ω |
0.58043712410313 |
Real period |
R |
0.23090482122424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840l1 62920c1 |
Quadratic twists by: -4 -11 |