Atkin-Lehner |
2+ 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590y |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-13978849296456000 = -1 · 26 · 37 · 53 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2376,5687680] |
[a1,a2,a3,a4,a6] |
Generators |
[776:21392:1] |
Generators of the group modulo torsion |
j |
2034382787711/19175376264000 |
j-invariant |
L |
4.2375705030391 |
L(r)(E,1)/r! |
Ω |
0.3124365911422 |
Real period |
R |
0.1614640196555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530m1 |
Quadratic twists by: -3 |