Atkin-Lehner |
7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75383c |
Isogeny class |
Conductor |
75383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-934819080041 = -1 · 72 · 118 · 89 |
Discriminant |
Eigenvalues |
1 1 -3 7- 11- -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1146720,472548195] |
[a1,a2,a3,a4,a6] |
Generators |
[16671:-9196:27] |
Generators of the group modulo torsion |
j |
-94132418755192273/527681 |
j-invariant |
L |
4.323237891282 |
L(r)(E,1)/r! |
Ω |
0.60155645833229 |
Real period |
R |
1.7966883361463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853d1 |
Quadratic twists by: -11 |