Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200be |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-2990080000 = -1 · 216 · 54 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 4 5 4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,3988] |
[a1,a2,a3,a4,a6] |
j |
-2941225/1168 |
j-invariant |
L |
2.6762860159132 |
L(r)(E,1)/r! |
Ω |
1.3381430079574 |
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 |
3650f1 116800cz1 29200o1 |
Quadratic twists by: -4 8 5 |