Atkin-Lehner |
7- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84133c |
Isogeny class |
Conductor |
84133 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
76752 |
Modular degree for the optimal curve |
Δ |
2060635999933 = 76 · 17 · 1013 |
Discriminant |
Eigenvalues |
0 -1 0 7- 3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4573,98482] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1262:1] |
Generators of the group modulo torsion |
j |
89915392000/17515117 |
j-invariant |
L |
3.8773109497038 |
L(r)(E,1)/r! |
Ω |
0.78445435856291 |
Real period |
R |
4.942685204425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717a1 |
Quadratic twists by: -7 |