Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cc |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
231911591184000000 = 210 · 36 · 56 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1003808,386072388] |
[a1,a2,a3,a4,a6] |
Generators |
[-1136:7854:1] [754:-7644:1] |
Generators of the group modulo torsion |
j |
6991270724335972/14494474449 |
j-invariant |
L |
14.003059019263 |
L(r)(E,1)/r! |
Ω |
0.31414502810238 |
Real period |
R |
0.61909918489712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992509 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600e2 4368b2 |
Quadratic twists by: -4 5 |