Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362bb |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1.4721678815625E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3495177,-2446686567] |
[a1,a2,a3,a4,a6] |
j |
5320605737038033/165877383168 |
j-invariant |
L |
6.6376205346978 |
L(r)(E,1)/r! |
Ω |
0.11062700891326 |
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 |
121086h1 1302j1 |
Quadratic twists by: -3 -31 |