Atkin-Lehner |
2+ 3- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746s |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
-3523806 = -1 · 2 · 32 · 11 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3708,-87200] |
[a1,a2,a3,a4,a6] |
Generators |
[430:8609:1] |
Generators of the group modulo torsion |
j |
-5636045784154681/3523806 |
j-invariant |
L |
5.307097326927 |
L(r)(E,1)/r! |
Ω |
0.3059134998744 |
Real period |
R |
4.3370898383904 |
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 |
95238bz1 |
Quadratic twists by: -3 |