Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400ea |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-104101200000000 = -1 · 210 · 37 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348208,-79204912] |
[a1,a2,a3,a4,a6] |
j |
-11672965505860/260253 |
j-invariant |
L |
4.1272281562366 |
L(r)(E,1)/r! |
Ω |
0.098267337206849 |
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 |
71400q1 |
Quadratic twists by: 5 |