Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700f |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18252000000 = 28 · 33 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67575,-6761250] |
[a1,a2,a3,a4,a6] |
Generators |
[2498:12857:8] |
Generators of the group modulo torsion |
j |
315978926832/169 |
j-invariant |
L |
3.6955152519246 |
L(r)(E,1)/r! |
Ω |
0.29610998685792 |
Real period |
R |
6.2401057308778 |
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 |
46800cn2 11700e2 468a2 |
Quadratic twists by: -4 -3 5 |