Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ix |
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] |
Generators |
[-97943613:62866637:6128487] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
12.028328407659 |
L(r)(E,1)/r! |
Ω |
0.92933178699202 |
Real period |
R |
12.942986109188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400dh1 19600bd1 3136bc1 78400gn1 |
Quadratic twists by: -4 8 5 -7 |