Atkin-Lehner |
2+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
80752g |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-80752 = -1 · 24 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-517] |
[a1,a2,a3,a4,a6] |
Generators |
[43088493:24321835:3176523] |
Generators of the group modulo torsion |
j |
-298144000/103 |
j-invariant |
L |
9.1950277718067 |
L(r)(E,1)/r! |
Ω |
0.70921137094458 |
Real period |
R |
12.965144309859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40376g1 80752a1 |
Quadratic twists by: -4 -7 |