Atkin-Lehner |
2- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690s |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
9675031040 = 29 · 5 · 194 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 3 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,16681] |
[a1,a2,a3,a4,a6] |
j |
1742478049/74240 |
j-invariant |
L |
3.839591021332 |
L(r)(E,1)/r! |
Ω |
1.2798637295191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104690g1 |
Quadratic twists by: -19 |