Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200cz |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
42448320000000000 = 215 · 33 · 510 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166875,-24293750] |
[a1,a2,a3,a4,a6] |
j |
475854075/39304 |
j-invariant |
L |
0.94980903880419 |
L(r)(E,1)/r! |
Ω |
0.23745225945744 |
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 |
7650bi1 61200dl2 61200eg1 |
Quadratic twists by: -4 -3 5 |