Atkin-Lehner |
3- 11- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84249i |
Isogeny class |
Conductor |
84249 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-252241758747 = -1 · 39 · 11 · 23 · 373 |
Discriminant |
Eigenvalues |
0 3- 0 -1 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-210,24192] |
[a1,a2,a3,a4,a6] |
Generators |
[62:499:1] |
Generators of the group modulo torsion |
j |
-1404928000/346010643 |
j-invariant |
L |
4.3496843244808 |
L(r)(E,1)/r! |
Ω |
0.80246753681708 |
Real period |
R |
0.90339777471331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28083d1 |
Quadratic twists by: -3 |