Atkin-Lehner |
2+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690i |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17072640 |
Modular degree for the optimal curve |
Δ |
-1.1426541213985E+24 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 5 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79892918,279622922056] |
[a1,a2,a3,a4,a6] |
j |
-3320624343590698681/67280000000000 |
j-invariant |
L |
1.7373852113189 |
L(r)(E,1)/r! |
Ω |
0.086869264694413 |
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 |
104690bf1 |
Quadratic twists by: -19 |