Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099cd |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
-22368616537874607 = -1 · 36 · 7 · 1110 · 132 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17084,-7242650] |
[a1,a2,a3,a4,a6] |
Generators |
[202376:3432541:512] |
Generators of the group modulo torsion |
j |
-426957777/17320303 |
j-invariant |
L |
5.3646383276768 |
L(r)(E,1)/r! |
Ω |
0.16656811603105 |
Real period |
R |
8.0517185094957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11011p1 9009c1 |
Quadratic twists by: -3 -11 |