Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200j |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-2067200 = -1 · 28 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153,-683] |
[a1,a2,a3,a4,a6] |
j |
-62295040/323 |
j-invariant |
L |
0.67814987243083 |
L(r)(E,1)/r! |
Ω |
0.67814997009247 |
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 |
64600i1 129200w1 |
Quadratic twists by: -4 5 |