Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488iq |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
67280893982539776 = 225 · 312 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3357377,-2368904385] |
[a1,a2,a3,a4,a6] |
Generators |
[29221:4985100:1] |
Generators of the group modulo torsion |
j |
46546832455691959/748268928 |
j-invariant |
L |
10.431441459481 |
L(r)(E,1)/r! |
Ω |
0.11153211427939 |
Real period |
R |
7.7940492269012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488w2 25872bp2 103488go2 |
Quadratic twists by: -4 8 -7 |