Atkin-Lehner |
2+ 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560n |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
475776000 = 210 · 32 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17200,-874000] |
[a1,a2,a3,a4,a6] |
j |
549584335339204/464625 |
j-invariant |
L |
1.250652384184 |
L(r)(E,1)/r! |
Ω |
0.416884128272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120j1 |
Quadratic twists by: -4 |