Atkin-Lehner |
3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
4977d |
Isogeny class |
Conductor |
4977 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-533350251 = -1 · 39 · 73 · 79 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,51,1102] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-95:1] |
Generators of the group modulo torsion |
j |
20123648/731619 |
j-invariant |
L |
1.4695293028269 |
L(r)(E,1)/r! |
Ω |
1.2434595720403 |
Real period |
R |
0.098483921784964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79632z1 1659c1 124425f1 34839j1 |
Quadratic twists by: -4 -3 5 -7 |