Atkin-Lehner |
2+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49984a |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
12795904 = 214 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 11+ 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,-96] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:3:1] |
Generators of the group modulo torsion |
j |
1769472/781 |
j-invariant |
L |
3.924226993723 |
L(r)(E,1)/r! |
Ω |
1.7580860014127 |
Real period |
R |
2.2321018372223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984r1 3124a1 |
Quadratic twists by: -4 8 |