Atkin-Lehner |
5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3995a |
Isogeny class |
Conductor |
3995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3552320 |
Modular degree for the optimal curve |
Δ |
1.4614200080602E+25 |
Discriminant |
Eigenvalues |
1 -3 5+ 3 -3 7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1037153740,12855149477425] |
[a1,a2,a3,a4,a6] |
j |
123382374966976645674907103252889/14614200080602264404296875 |
j-invariant |
L |
1.0804575882856 |
L(r)(E,1)/r! |
Ω |
0.067528599267852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63920f1 35955k1 19975d1 67915k1 |
Quadratic twists by: -4 -3 5 17 |