Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fn |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
903898627208527104 = 28 · 315 · 75 · 114 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-676632,-209287892] |
[a1,a2,a3,a4,a6] |
Generators |
[1874:-71442:1] |
Generators of the group modulo torsion |
j |
12538427613184/330812181 |
j-invariant |
L |
7.7498303797625 |
L(r)(E,1)/r! |
Ω |
0.16672882998255 |
Real period |
R |
1.1620411400993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492o1 40656df1 121968dv1 |
Quadratic twists by: -4 -3 -11 |