Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41895y |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-3423494089661625 = -1 · 36 · 53 · 711 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28215,2137050] |
[a1,a2,a3,a4,a6] |
Generators |
[34606:3515156:2197] |
Generators of the group modulo torsion |
j |
28962726911/39916625 |
j-invariant |
L |
5.1705644139338 |
L(r)(E,1)/r! |
Ω |
0.30101262494879 |
Real period |
R |
8.5886171963899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655q1 5985s1 |
Quadratic twists by: -3 -7 |