Atkin-Lehner |
2- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40672c |
Isogeny class |
Conductor |
40672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
4238917184 = 26 · 312 · 413 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 6 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22994,1349744] |
[a1,a2,a3,a4,a6] |
j |
21009039924357568/66233081 |
j-invariant |
L |
1.2078614982951 |
L(r)(E,1)/r! |
Ω |
1.2078614982679 |
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 |
40672b1 81344b1 |
Quadratic twists by: -4 8 |