Atkin-Lehner |
2+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690k |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-36564931884751360 = -1 · 29 · 5 · 198 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 3 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88452,13643984] |
[a1,a2,a3,a4,a6] |
j |
-4506356521/2152960 |
j-invariant |
L |
0.68284778979417 |
L(r)(E,1)/r! |
Ω |
0.34142359479006 |
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 |
104690bi1 |
Quadratic twists by: -19 |