Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350bf |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-321355729687500 = -1 · 22 · 314 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -1 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2865492,1867727916] |
[a1,a2,a3,a4,a6] |
Generators |
[978:-462:1] |
Generators of the group modulo torsion |
j |
-9137635610327905/1128492 |
j-invariant |
L |
3.8612853051466 |
L(r)(E,1)/r! |
Ω |
0.42134346589238 |
Real period |
R |
2.2910556456409 |
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 |
6450bj1 19350cg1 |
Quadratic twists by: -3 5 |