Atkin-Lehner |
5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19975d |
Isogeny class |
Conductor |
19975 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
85255680 |
Modular degree for the optimal curve |
Δ |
2.2834687625941E+29 |
Discriminant |
Eigenvalues |
-1 3 5+ -3 -3 -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25928843505,1606867755834622] |
[a1,a2,a3,a4,a6] |
j |
123382374966976645674907103252889/14614200080602264404296875 |
j-invariant |
L |
1.2079883071061 |
L(r)(E,1)/r! |
Ω |
0.030199707677652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3995a1 |
Quadratic twists by: 5 |