Atkin-Lehner |
2- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111188q |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3939840 |
Modular degree for the optimal curve |
Δ |
9.5523822065017E+18 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-541861,38184053] |
[a1,a2,a3,a4,a6] |
j |
64749825792/35153041 |
j-invariant |
L |
9.6302540487937 |
L(r)(E,1)/r! |
Ω |
0.20063027745217 |
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 |
111188s1 |
Quadratic twists by: -19 |