Atkin-Lehner |
2+ 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
79632c |
Isogeny class |
Conductor |
79632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
75235039488 = 28 · 312 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-13354] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:72:1] [185:2464:1] |
Generators of the group modulo torsion |
j |
1409938000/403137 |
j-invariant |
L |
10.563677269502 |
L(r)(E,1)/r! |
Ω |
0.8070155833444 |
Real period |
R |
6.5449029036649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39816e1 26544a1 |
Quadratic twists by: -4 -3 |