Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bu |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1363629087744 = -1 · 210 · 3 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2679,16689] |
[a1,a2,a3,a4,a6] |
Generators |
[208:3087:1] |
Generators of the group modulo torsion |
j |
17643776/11319 |
j-invariant |
L |
4.3906378962538 |
L(r)(E,1)/r! |
Ω |
0.53334300306407 |
Real period |
R |
2.0580742060793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488hq1 6468l1 14784bj1 |
Quadratic twists by: -4 8 -7 |