Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650cm |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1869605578856250000 = -1 · 24 · 36 · 58 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -4 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,305320,10467947] |
[a1,a2,a3,a4,a6] |
j |
11053587253415/6565418768 |
j-invariant |
L |
1.9297469661847 |
L(r)(E,1)/r! |
Ω |
0.16081224718206 |
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 |
61200gz1 850d1 7650ba1 |
Quadratic twists by: -4 -3 5 |