Atkin-Lehner |
7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75383d |
Isogeny class |
Conductor |
75383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1342080 |
Modular degree for the optimal curve |
Δ |
-84983552731 = -1 · 72 · 117 · 89 |
Discriminant |
Eigenvalues |
-2 -2 -3 7- 11- 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1653142,817562312] |
[a1,a2,a3,a4,a6] |
Generators |
[733:-424:1] |
Generators of the group modulo torsion |
j |
-282031971470553088/47971 |
j-invariant |
L |
1.1041540541997 |
L(r)(E,1)/r! |
Ω |
0.62305382873788 |
Real period |
R |
0.44304119644996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853e1 |
Quadratic twists by: -11 |