Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bd |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-149267168750000 = -1 · 24 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -2 -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8550,506500] |
[a1,a2,a3,a4,a6] |
Generators |
[160:-2530:1] |
Generators of the group modulo torsion |
j |
1503815/3248 |
j-invariant |
L |
1.8135147623852 |
L(r)(E,1)/r! |
Ω |
0.40135477181872 |
Real period |
R |
0.1882701301547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bs1 10150f1 |
Quadratic twists by: 5 -7 |