Atkin-Lehner |
3+ 5- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79335b |
Isogeny class |
Conductor |
79335 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80000 |
Modular degree for the optimal curve |
Δ |
-672545246805 = -1 · 33 · 5 · 415 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- -1 4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1236,-36047] |
[a1,a2,a3,a4,a6] |
j |
7730680042917/24909083215 |
j-invariant |
L |
3.709799632116 |
L(r)(E,1)/r! |
Ω |
0.46372495302109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79335a1 |
Quadratic twists by: -3 |