Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hd |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-102942875000000 = -1 · 26 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92283,10770563] |
[a1,a2,a3,a4,a6] |
Generators |
[178:125:1] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
6.9132521089752 |
L(r)(E,1)/r! |
Ω |
0.59490802255039 |
Real period |
R |
1.4525884354383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400hs1 39200bw1 15680cg1 11200by1 |
Quadratic twists by: -4 8 5 -7 |