Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200c |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-24054048000000 = -1 · 211 · 32 · 56 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7192,21612] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2926:1] |
Generators of the group modulo torsion |
j |
1285471294/751689 |
j-invariant |
L |
4.47541275811 |
L(r)(E,1)/r! |
Ω |
0.40779205604748 |
Real period |
R |
5.4873711880117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400z4 81600dg3 30600co3 408b4 |
Quadratic twists by: -4 8 -3 5 |