Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050ce |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
123120 |
Modular degree for the optimal curve |
Δ |
13925800000000 = 29 · 58 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6763,116017] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:599:1] |
Generators of the group modulo torsion |
j |
36474865/14848 |
j-invariant |
L |
11.254375399416 |
L(r)(E,1)/r! |
Ω |
0.6394042612571 |
Real period |
R |
1.955705069833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71050b1 71050ci1 |
Quadratic twists by: 5 -7 |