Atkin-Lehner |
2+ 3- 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042v |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
-3.2299871377197E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7957629,8685346581] |
[a1,a2,a3,a4,a6] |
j |
-76444681828933004802769/443070937958809104 |
j-invariant |
L |
1.3800847822963 |
L(r)(E,1)/r! |
Ω |
0.17251060934105 |
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 |
28014z1 |
Quadratic twists by: -3 |