Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400dh |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
784000000 = 210 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 1 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,7000] |
[a1,a2,a3,a4,a6] |
j |
48384 |
j-invariant |
L |
1.5931648550132 |
L(r)(E,1)/r! |
Ω |
1.5931647961355 |
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 |
78400ix1 9800m1 3136n1 78400o1 |
Quadratic twists by: -4 8 5 -7 |