Atkin-Lehner |
2+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690m |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
-246261664094500 = -1 · 22 · 53 · 198 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14432,354306] |
[a1,a2,a3,a4,a6] |
j |
19575719/14500 |
j-invariant |
L |
0.70824780158949 |
L(r)(E,1)/r! |
Ω |
0.35412391519768 |
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 |
104690bg1 |
Quadratic twists by: -19 |