Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304il |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
26386385485824 = 214 · 34 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8689,187151] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:624:1] |
Generators of the group modulo torsion |
j |
37642192/13689 |
j-invariant |
L |
6.0040622733994 |
L(r)(E,1)/r! |
Ω |
0.6120283606136 |
Real period |
R |
1.2262630821631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004233 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304cb2 30576c2 2496s2 |
Quadratic twists by: -4 8 -7 |