Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654q |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
-311032204 = -1 · 22 · 72 · 174 · 19 |
Discriminant |
Eigenvalues |
2- -2 3 7- -3 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[222:1045:8] |
Generators of the group modulo torsion |
j |
482447/6347596 |
j-invariant |
L |
6.6247323373764 |
L(r)(E,1)/r! |
Ω |
0.79472117883295 |
Real period |
R |
2.0839800529492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31654m1 |
Quadratic twists by: -7 |