Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6900h |
Isogeny class |
Conductor |
6900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
20700000000 = 28 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-2412] |
[a1,a2,a3,a4,a6] |
j |
393040/207 |
j-invariant |
L |
1.9631958739535 |
L(r)(E,1)/r! |
Ω |
0.98159793697676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600ce1 110400cb1 20700u1 6900d1 |
Quadratic twists by: -4 8 -3 5 |