Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600y |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19681280000000 = 218 · 57 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41633,-3248863] |
[a1,a2,a3,a4,a6] |
j |
1948441249/4805 |
j-invariant |
L |
1.3370991432281 |
L(r)(E,1)/r! |
Ω |
0.33427478600143 |
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 |
49600bv2 775b2 9920q2 |
Quadratic twists by: -4 8 5 |