Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840da |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1.3860598333185E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53007852,585587602096] |
[a1,a2,a3,a4,a6] |
j |
-86193969101536367161/725294740213012500 |
j-invariant |
L |
3.9881109373429 |
L(r)(E,1)/r! |
Ω |
0.049851394481383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fv2 3870q2 41280bd2 |
Quadratic twists by: -4 8 -3 |