Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050ca |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-35149432897250000 = -1 · 24 · 56 · 78 · 293 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17788,-9067808] |
[a1,a2,a3,a4,a6] |
j |
-338608873/19120976 |
j-invariant |
L |
3.8697305358227 |
L(r)(E,1)/r! |
Ω |
0.16123877182483 |
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 |
2842d1 10150i1 |
Quadratic twists by: 5 -7 |