Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bt |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
13416960724992 = 212 · 311 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6051,-42014] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:306:1] |
Generators of the group modulo torsion |
j |
8205738913/4493313 |
j-invariant |
L |
6.103680384799 |
L(r)(E,1)/r! |
Ω |
0.57832200774089 |
Real period |
R |
2.6385302232593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4059b1 21648ba1 |
Quadratic twists by: -4 -3 |