Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672s |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
632360478776832 = 29 · 39 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5695131,-5231228366] |
[a1,a2,a3,a4,a6] |
j |
11339065490696/351 |
j-invariant |
L |
1.5636646155887 |
L(r)(E,1)/r! |
Ω |
0.097729038480582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672bu4 97344bo4 16224t3 3744p2 |
Quadratic twists by: -4 8 -3 13 |