Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40964a |
Isogeny class |
Conductor |
40964 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38304 |
Modular degree for the optimal curve |
Δ |
-308439912704 = -1 · 28 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11+ -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4916,136984] |
[a1,a2,a3,a4,a6] |
Generators |
[33:98:1] |
Generators of the group modulo torsion |
j |
-8904784/209 |
j-invariant |
L |
3.070683158749 |
L(r)(E,1)/r! |
Ω |
0.96750842053252 |
Real period |
R |
1.0579350331161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40964d1 |
Quadratic twists by: -7 |