Atkin-Lehner |
2+ 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194h |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-37058224896 = -1 · 28 · 33 · 75 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,429,8501] |
[a1,a2,a3,a4,a6] |
Generators |
[22:157:1] [-10:61:1] |
Generators of the group modulo torsion |
j |
322970055381/1372526848 |
j-invariant |
L |
5.8225115112714 |
L(r)(E,1)/r! |
Ω |
0.82608833630226 |
Real period |
R |
0.35241458179488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40194bb1 |
Quadratic twists by: -3 |