Atkin-Lehner |
2- 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
29694i |
Isogeny class |
Conductor |
29694 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-92398701024 = -1 · 25 · 35 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4411,-115543] |
[a1,a2,a3,a4,a6] |
Generators |
[111:826:1] |
Generators of the group modulo torsion |
j |
-80677568161/785376 |
j-invariant |
L |
6.5333999242708 |
L(r)(E,1)/r! |
Ω |
0.29274040251907 |
Real period |
R |
2.2318067024743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89082u1 606f1 |
Quadratic twists by: -3 -7 |