Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099ce |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
7526400 |
Modular degree for the optimal curve |
Δ |
-1.5330983422787E+22 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2765697,-5688084735] |
[a1,a2,a3,a4,a6] |
Generators |
[10450:99095:8] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
12.766096772787 |
L(r)(E,1)/r! |
Ω |
0.062075402731275 |
Real period |
R |
2.4482699368554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33033bc1 819d1 |
Quadratic twists by: -3 -11 |