Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656f |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2581818624 = 28 · 35 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- -6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-425,-2187] |
[a1,a2,a3,a4,a6] |
j |
274717696/83349 |
j-invariant |
L |
1.0760331140687 |
L(r)(E,1)/r! |
Ω |
1.0760331140817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20328ba1 121968bi1 40656q1 |
Quadratic twists by: -4 -3 -11 |