Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200p |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-1159274074300000000 = -1 · 28 · 58 · 1035 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -6 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1905708,-1014547412] |
[a1,a2,a3,a4,a6] |
j |
-7654080250444240/11592740743 |
j-invariant |
L |
0.12848310329791 |
L(r)(E,1)/r! |
Ω |
0.064241551642781 |
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 |
20600k1 41200k1 |
Quadratic twists by: -4 5 |