Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400q |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
84672000 = 29 · 33 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,950] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:42:1] |
Generators of the group modulo torsion |
j |
474552/49 |
j-invariant |
L |
6.1763906269256 |
L(r)(E,1)/r! |
Ω |
1.8618356340745 |
Real period |
R |
0.82934155328333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cp2 100800cm2 50400cs2 50400cq2 |
Quadratic twists by: -4 8 -3 5 |