Atkin-Lehner |
2- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690ba |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-103689121724000000 = -1 · 28 · 56 · 197 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236523,46966331] |
[a1,a2,a3,a4,a6] |
j |
-31104306411849/2204000000 |
j-invariant |
L |
2.6368442174241 |
L(r)(E,1)/r! |
Ω |
0.3296054833152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5510a1 |
Quadratic twists by: -19 |