Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9800w |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-288240050000000000 = -1 · 210 · 511 · 78 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48592,-25483312] |
[a1,a2,a3,a4,a6] |
j |
137564/3125 |
j-invariant |
L |
1.7924786861757 |
L(r)(E,1)/r! |
Ω |
0.14937322384798 |
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 |
19600b1 78400f1 88200bh1 1960a1 |
Quadratic twists by: -4 8 -3 5 |