Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946l |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-5337252 = -1 · 22 · 35 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-270,1684] |
[a1,a2,a3,a4,a6] |
Generators |
[11:3:1] |
Generators of the group modulo torsion |
j |
-7492088377/18468 |
j-invariant |
L |
5.7080306285398 |
L(r)(E,1)/r! |
Ω |
2.4216251266628 |
Real period |
R |
0.23571074505682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838bn1 32946e1 |
Quadratic twists by: -3 17 |