Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490s |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-17828665137920160 = -1 · 25 · 38 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37296,5785888] |
[a1,a2,a3,a4,a6] |
Generators |
[66649:3678505:1331] |
Generators of the group modulo torsion |
j |
463391/1440 |
j-invariant |
L |
5.1662473487406 |
L(r)(E,1)/r! |
Ω |
0.27413396365798 |
Real period |
R |
9.4228516594653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830r1 32490cb1 |
Quadratic twists by: -3 -19 |