Atkin-Lehner |
2- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
77420h |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
39312 |
Modular degree for the optimal curve |
Δ |
-36433542320 = -1 · 24 · 5 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 -4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,21609] |
[a1,a2,a3,a4,a6] |
Generators |
[0:147:1] |
Generators of the group modulo torsion |
j |
-3096576/395 |
j-invariant |
L |
6.1590793500212 |
L(r)(E,1)/r! |
Ω |
1.12249056101 |
Real period |
R |
0.60966405748223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77420c1 |
Quadratic twists by: -7 |