Atkin-Lehner |
11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34969c |
Isogeny class |
Conductor |
34969 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-2.7962400956669E+20 |
Discriminant |
Eigenvalues |
0 -2 0 -3 11+ -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1282197,-578352615] |
[a1,a2,a3,a4,a6] |
Generators |
[403:1996:1] |
Generators of the group modulo torsion |
j |
4096000/4913 |
j-invariant |
L |
1.3408545148757 |
L(r)(E,1)/r! |
Ω |
0.093214789395328 |
Real period |
R |
3.5961421024878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34969b1 2057b1 |
Quadratic twists by: -11 17 |