Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722bk |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-40409928 = -1 · 23 · 36 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 1 6 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
557375/328 |
j-invariant |
L |
12.797825215328 |
L(r)(E,1)/r! |
Ω |
1.1979195722233 |
Real period |
R |
1.7805626643203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858c1 124722p1 |
Quadratic twists by: -3 13 |