Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656m |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
53851392 = 28 · 34 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[16:36:1] |
Generators of the group modulo torsion |
j |
170338000/4293 |
j-invariant |
L |
7.0531983365574 |
L(r)(E,1)/r! |
Ω |
1.9873425426428 |
Real period |
R |
0.88726505994957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999086996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328bp1 124656w1 |
Quadratic twists by: -4 -7 |