Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400dp |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-2951578112000000000 = -1 · 218 · 59 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-628833,-209185537] |
[a1,a2,a3,a4,a6] |
j |
-9317 |
j-invariant |
L |
1.0110970068553 |
L(r)(E,1)/r! |
Ω |
0.084258081853645 |
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 |
78400jn1 1225e1 78400ds1 78400eu1 |
Quadratic twists by: -4 8 5 -7 |