Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152m |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
561168788544 = 26 · 32 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2074,-4136] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:78:1] |
Generators of the group modulo torsion |
j |
131096512/74529 |
j-invariant |
L |
3.0735037157952 |
L(r)(E,1)/r! |
Ω |
0.76432233366954 |
Real period |
R |
2.0106070310404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989616 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61152ce1 122304dg2 8736j1 |
Quadratic twists by: -4 8 -7 |