Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400j |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
302241598668800 = 221 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25153,1279263] |
[a1,a2,a3,a4,a6] |
Generators |
[59:64:1] |
Generators of the group modulo torsion |
j |
46585/8 |
j-invariant |
L |
4.56530479294 |
L(r)(E,1)/r! |
Ω |
0.52038621477414 |
Real period |
R |
2.19322911699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gh1 2450t1 78400dv1 78400ca1 |
Quadratic twists by: -4 8 5 -7 |