Atkin-Lehner |
3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
46827l |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
929280 |
Modular degree for the optimal curve |
Δ |
-1.3093747213932E+19 |
Discriminant |
Eigenvalues |
1 3- 3 -1 11+ -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-326178,-188202173] |
[a1,a2,a3,a4,a6] |
Generators |
[241718560970922:-15066208131901147:61676694351] |
Generators of the group modulo torsion |
j |
-2232681443/7617321 |
j-invariant |
L |
7.8367713286013 |
L(r)(E,1)/r! |
Ω |
0.091812259097594 |
Real period |
R |
21.339120193827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15609b1 46827k1 |
Quadratic twists by: -3 -11 |