Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400cc |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4492800 |
Modular degree for the optimal curve |
Δ |
-4.955564130075E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 6 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457708,1077801412] |
[a1,a2,a3,a4,a6] |
j |
-5200/243 |
j-invariant |
L |
2.198041080551 |
L(r)(E,1)/r! |
Ω |
0.13737755726399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400bs1 101400d1 |
Quadratic twists by: 5 13 |