Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gj |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-12690432000000000 = -1 · 219 · 36 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64875,8356250] |
[a1,a2,a3,a4,a6] |
j |
-5177717/2176 |
j-invariant |
L |
1.4978112137663 |
L(r)(E,1)/r! |
Ω |
0.37445280502751 |
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 |
7650cg1 6800x1 61200hd1 |
Quadratic twists by: -4 -3 5 |