Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800my |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-2100394800000000 = -1 · 210 · 37 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7800,-2189000] |
[a1,a2,a3,a4,a6] |
j |
4499456/180075 |
j-invariant |
L |
1.7838061066647 |
L(r)(E,1)/r! |
Ω |
0.22297572512504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800cz1 25200bl1 33600gk1 20160do1 |
Quadratic twists by: -4 8 -3 5 |