Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gy |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.903156224E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1386700,-508326000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2441151570:-24028521600:2924207] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
7.2382078037557 |
L(r)(E,1)/r! |
Ω |
0.14107335227275 |
Real period |
R |
12.827028789298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996336 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78400y2 19600cc2 15680cb2 11200bu2 |
Quadratic twists by: -4 8 5 -7 |