Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050bg |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-170591050000000 = -1 · 27 · 58 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48617,-4161459] |
[a1,a2,a3,a4,a6] |
j |
-276531705/3712 |
j-invariant |
L |
0.32125901078513 |
L(r)(E,1)/r! |
Ω |
0.16062947983054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050by1 1450d1 |
Quadratic twists by: 5 -7 |