Atkin-Lehner |
2+ 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690g |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-1.1482663143797E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2484450,620777236] |
[a1,a2,a3,a4,a6] |
j |
2326413279640803271199/1575125259780096000 |
j-invariant |
L |
3.49863100604 |
L(r)(E,1)/r! |
Ω |
0.09718419099816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37230w1 |
Quadratic twists by: -3 |