Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1456f |
Isogeny class |
Conductor |
1456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-1362651250688 = -1 · 219 · 7 · 135 |
Discriminant |
Eigenvalues |
2- -3 0 7+ 5 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355,-56222] |
[a1,a2,a3,a4,a6] |
j |
-1207949625/332678528 |
j-invariant |
L |
0.76542295959708 |
L(r)(E,1)/r! |
Ω |
0.38271147979854 |
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 |
182e1 5824x1 13104bp1 36400cg1 |
Quadratic twists by: -4 8 -3 5 |