Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40964d |
Isogeny class |
Conductor |
40964 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-2621696 = -1 · 28 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-428] |
[a1,a2,a3,a4,a6] |
Generators |
[106095:3092522:125] |
Generators of the group modulo torsion |
j |
-8904784/209 |
j-invariant |
L |
7.5092128302044 |
L(r)(E,1)/r! |
Ω |
0.75319174250647 |
Real period |
R |
9.9698554915329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40964a1 |
Quadratic twists by: -7 |