Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ia |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-439040000000 = -1 · 214 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12133,-511363] |
[a1,a2,a3,a4,a6] |
Generators |
[4772:329525:1] |
Generators of the group modulo torsion |
j |
-2249728/5 |
j-invariant |
L |
5.3681485599328 |
L(r)(E,1)/r! |
Ω |
0.22741373716234 |
Real period |
R |
5.9013019937109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bj1 19600n1 15680do1 78400hp1 |
Quadratic twists by: -4 8 5 -7 |