Atkin-Lehner |
2+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690n |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3939840 |
Modular degree for the optimal curve |
Δ |
-2856635303496200 = -1 · 23 · 52 · 198 · 292 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -3 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2191879,-1248485147] |
[a1,a2,a3,a4,a6] |
j |
-68571672661161/168200 |
j-invariant |
L |
0.24815621115247 |
L(r)(E,1)/r! |
Ω |
0.062039078998037 |
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 |
104690bk1 |
Quadratic twists by: -19 |