Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099cb |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-3990748381923303 = -1 · 38 · 74 · 117 · 13 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11412,3000091] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:13177:8] |
Generators of the group modulo torsion |
j |
127263527/3090087 |
j-invariant |
L |
7.3033416590931 |
L(r)(E,1)/r! |
Ω |
0.33005305180136 |
Real period |
R |
2.7659726285105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33033o1 9009d1 |
Quadratic twists by: -3 -11 |