Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722t |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
-141611905124352 = -1 · 211 · 310 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 2 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,729,-572675] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1685:1] |
Generators of the group modulo torsion |
j |
2056223/6801408 |
j-invariant |
L |
5.8815797564479 |
L(r)(E,1)/r! |
Ω |
0.26940856006252 |
Real period |
R |
3.6385751159219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574l1 124722bq1 |
Quadratic twists by: -3 13 |