Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400by |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1605632000000000 = -1 · 224 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52033,4975937] |
[a1,a2,a3,a4,a6] |
j |
-77626969/8000 |
j-invariant |
L |
1.8511178665 |
L(r)(E,1)/r! |
Ω |
0.4627794627263 |
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 |
78400hr2 2450w2 15680m2 78400d2 |
Quadratic twists by: -4 8 5 -7 |