Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050q |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-8.4097764256116E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 1 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7328553542,241479090410116] |
[a1,a2,a3,a4,a6] |
Generators |
[17175312:77506094:343] |
Generators of the group modulo torsion |
j |
-9862297098921556998849/19053906250000 |
j-invariant |
L |
4.6422112920922 |
L(r)(E,1)/r! |
Ω |
0.05210723744762 |
Real period |
R |
3.7120653487171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210q1 71050c1 |
Quadratic twists by: 5 -7 |