Atkin-Lehner |
2- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
77420k |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
94320 |
Modular degree for the optimal curve |
Δ |
-3096800000 = -1 · 28 · 55 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 4 6 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112,-2716] |
[a1,a2,a3,a4,a6] |
j |
-12386304/246875 |
j-invariant |
L |
9.193375737983 |
L(r)(E,1)/r! |
Ω |
0.61289171545005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77420a1 |
Quadratic twists by: -7 |