Atkin-Lehner |
3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
4977a |
Isogeny class |
Conductor |
4977 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
3628233 = 38 · 7 · 79 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95,366] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
128787625/4977 |
j-invariant |
L |
2.4220522579109 |
L(r)(E,1)/r! |
Ω |
2.4737590945647 |
Real period |
R |
0.97909786900131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632ba1 1659a1 124425o1 34839m1 |
Quadratic twists by: -4 -3 5 -7 |