Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400x |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9223681600000000 = 212 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63700,-4116000] |
[a1,a2,a3,a4,a6] |
j |
3796416/1225 |
j-invariant |
L |
1.2328383846328 |
L(r)(E,1)/r! |
Ω |
0.30820959315067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78400t2 39200bq1 15680e2 11200b2 |
Quadratic twists by: -4 8 5 -7 |