Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200u |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-645000000000 = -1 · 29 · 3 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,38588] |
[a1,a2,a3,a4,a6] |
j |
-200/129 |
j-invariant |
L |
0.73697693914326 |
L(r)(E,1)/r! |
Ω |
0.73697701463627 |
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 |
103200bw1 103200cd1 |
Quadratic twists by: -4 5 |