Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4928l |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-3469312 = -1 · 212 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,96] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-216000/847 |
j-invariant |
L |
3.8552674227364 |
L(r)(E,1)/r! |
Ω |
2.1854914935698 |
Real period |
R |
0.88201382482602 |
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 |
4928a1 2464l1 44352bs1 123200m1 |
Quadratic twists by: -4 8 -3 5 |