Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200eb |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-1504000000000 = -1 · 214 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 0 6 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2667,-25037] |
[a1,a2,a3,a4,a6] |
j |
65536/47 |
j-invariant |
L |
0.95508684639213 |
L(r)(E,1)/r! |
Ω |
0.47754342316232 |
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 |
75200bl1 18800bs1 75200dm1 |
Quadratic twists by: -4 8 5 |