Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78792b |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-2648514288 = -1 · 24 · 3 · 77 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-3891] |
[a1,a2,a3,a4,a6] |
Generators |
[26:49:1] [61:441:1] |
Generators of the group modulo torsion |
j |
-4000000/1407 |
j-invariant |
L |
8.9767861691835 |
L(r)(E,1)/r! |
Ω |
0.52179245370983 |
Real period |
R |
2.1504685688245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11256b1 |
Quadratic twists by: -7 |