Atkin-Lehner |
3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
4977b |
Isogeny class |
Conductor |
4977 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
3628233 = 38 · 7 · 79 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-936,11259] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:123:1] |
Generators of the group modulo torsion |
j |
124475734657/4977 |
j-invariant |
L |
5.2546544677432 |
L(r)(E,1)/r! |
Ω |
2.3400015639326 |
Real period |
R |
2.2455773315434 |
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 |
79632w1 1659d1 124425e1 34839g1 |
Quadratic twists by: -4 -3 5 -7 |