Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cy |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-12492800000000 = -1 · 219 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3 5- 1 6 6 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,170000] |
[a1,a2,a3,a4,a6] |
j |
135/122 |
j-invariant |
L |
10.002833048892 |
L(r)(E,1)/r! |
Ω |
0.55571295071306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600bq1 24400be1 97600cj1 |
Quadratic twists by: -4 8 5 |