Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150hc |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44582400 |
Modular degree for the optimal curve |
Δ |
-5.3065489263519E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136050305,3557666919197] |
[a1,a2,a3,a4,a6] |
j |
-977990655709767978985/18634794583622491692 |
j-invariant |
L |
3.9069105123995 |
L(r)(E,1)/r! |
Ω |
0.036175097642609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050bm1 84150cf1 |
Quadratic twists by: -3 5 |