Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ip |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-21082700800 = -1 · 210 · 52 · 77 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,-6497] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4753:1] |
Generators of the group modulo torsion |
j |
1280/7 |
j-invariant |
L |
4.5426638510285 |
L(r)(E,1)/r! |
Ω |
0.60773973873901 |
Real period |
R |
3.7373431096687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ci1 19600cs1 78400ks1 11200cp1 |
Quadratic twists by: -4 8 5 -7 |