Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800hy |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-163296000000000 = -1 · 214 · 36 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36000,-2700000] |
[a1,a2,a3,a4,a6] |
j |
-221184/7 |
j-invariant |
L |
3.1135642977603 |
L(r)(E,1)/r! |
Ω |
0.17297578280039 |
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 |
100800ow1 6300bc1 11200bs1 100800gw1 |
Quadratic twists by: -4 8 -3 5 |