Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150dk |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3575040 |
Modular degree for the optimal curve |
Δ |
-6.716461897728E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,560133,-1236546459] |
[a1,a2,a3,a4,a6] |
j |
68251027208495/2358592929792 |
j-invariant |
L |
0.31087016724998 |
L(r)(E,1)/r! |
Ω |
0.077717553470615 |
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 |
28050dq1 84150fx1 |
Quadratic twists by: -3 5 |