Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400s |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-11614733257932800 = -1 · 225 · 52 · 614 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 3 0 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301435,63910570] |
[a1,a2,a3,a4,a6] |
j |
-29580450758086905/113425129472 |
j-invariant |
L |
1.6177027125739 |
L(r)(E,1)/r! |
Ω |
0.40442567814348 |
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 |
3050g1 97600ci1 24400bd1 |
Quadratic twists by: -4 8 5 |