Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200o |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19946880 |
Modular degree for the optimal curve |
Δ |
-5.219092735317E+27 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -5 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,430226792,532845297588] |
[a1,a2,a3,a4,a6] |
j |
2201689526159049426614/1304773183829244583 |
j-invariant |
L |
0.20981737102328 |
L(r)(E,1)/r! |
Ω |
0.02622717138828 |
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 |
20600j1 41200u1 |
Quadratic twists by: -4 5 |