Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050b |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24624 |
Modular degree for the optimal curve |
Δ |
891251200 = 29 · 52 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-270,820] |
[a1,a2,a3,a4,a6] |
Generators |
[1:23:1] |
Generators of the group modulo torsion |
j |
36474865/14848 |
j-invariant |
L |
4.009863923482 |
L(r)(E,1)/r! |
Ω |
1.4297513932739 |
Real period |
R |
2.8045882263035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050ce1 71050l1 |
Quadratic twists by: 5 -7 |