Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400dz |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-578509309952000 = -1 · 214 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10780,1234800] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1176:1] |
Generators of the group modulo torsion |
j |
-574992/2401 |
j-invariant |
L |
6.5544207332966 |
L(r)(E,1)/r! |
Ω |
0.45043025053713 |
Real period |
R |
1.818933321875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400js2 4900q2 78400ea2 11200bl2 |
Quadratic twists by: -4 8 5 -7 |