Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bx |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-455338648800000000 = -1 · 211 · 314 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1285208,561311088] |
[a1,a2,a3,a4,a6] |
j |
-293463656011250/569173311 |
j-invariant |
L |
4.1555535757809 |
L(r)(E,1)/r! |
Ω |
0.29682525621149 |
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 |
71400ck1 |
Quadratic twists by: 5 |