Atkin-Lehner |
3- 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40185f |
Isogeny class |
Conductor |
40185 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-428848788414195 = -1 · 39 · 5 · 19 · 475 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1273,995874] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-1132:1] [-16:993:1] |
Generators of the group modulo torsion |
j |
313185171671/588269942955 |
j-invariant |
L |
5.8088582943922 |
L(r)(E,1)/r! |
Ω |
0.41540537611598 |
Real period |
R |
0.69917947965745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13395a1 |
Quadratic twists by: -3 |