Atkin-Lehner |
2- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936x |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
38069334016 = 212 · 76 · 79 |
Discriminant |
Eigenvalues |
2- -1 3 7- 2 -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,22912] |
[a1,a2,a3,a4,a6] |
j |
912673/79 |
j-invariant |
L |
2.249191120217 |
L(r)(E,1)/r! |
Ω |
1.1245955596283 |
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 |
3871a1 1264h1 |
Quadratic twists by: -4 -7 |