Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352z |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-145335897514672128 = -1 · 215 · 32 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356264,-83758992] |
[a1,a2,a3,a4,a6] |
Generators |
[181978:27436119:8] |
Generators of the group modulo torsion |
j |
-47071057/1368 |
j-invariant |
L |
4.2466071664378 |
L(r)(E,1)/r! |
Ω |
0.097539995575635 |
Real period |
R |
10.884271497834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794q1 110352bl1 |
Quadratic twists by: -4 -11 |