Atkin-Lehner |
2- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40964f |
Isogeny class |
Conductor |
40964 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-24947757511677616 = -1 · 24 · 714 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-431069,109343774] |
[a1,a2,a3,a4,a6] |
j |
-4706053639241728/13253277499 |
j-invariant |
L |
2.2738758208344 |
L(r)(E,1)/r! |
Ω |
0.37897930348229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5852a1 |
Quadratic twists by: -7 |