Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350ce |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-6739605000000000 = -1 · 29 · 36 · 510 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 2 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30820,3348447] |
[a1,a2,a3,a4,a6] |
j |
454786175/946688 |
j-invariant |
L |
5.2489099680794 |
L(r)(E,1)/r! |
Ω |
0.29160610933775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2150c1 19350bi1 |
Quadratic twists by: -3 5 |