Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136g |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-25947921087986688 = -1 · 210 · 32 · 77 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35656,7292160] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:784:1] |
Generators of the group modulo torsion |
j |
41612249948/215384463 |
j-invariant |
L |
4.8456591288087 |
L(r)(E,1)/r! |
Ω |
0.27105443256562 |
Real period |
R |
2.2346337864431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999690413 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50568t3 14448i4 |
Quadratic twists by: -4 -7 |