Atkin-Lehner |
2- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106742g |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
302328 |
Modular degree for the optimal curve |
Δ |
-3368982891608 = -1 · 23 · 19 · 536 |
Discriminant |
Eigenvalues |
2- -1 0 -1 -6 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43598,3486819] |
[a1,a2,a3,a4,a6] |
j |
-413493625/152 |
j-invariant |
L |
2.3372851886704 |
L(r)(E,1)/r! |
Ω |
0.77909492797332 |
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 |
38a3 |
Quadratic twists by: 53 |