Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350r |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-476082562500 = -1 · 22 · 311 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3267,-78359] |
[a1,a2,a3,a4,a6] |
j |
-338608873/41796 |
j-invariant |
L |
2.5085628245549 |
L(r)(E,1)/r! |
Ω |
0.31357035306937 |
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 |
6450y1 774i1 |
Quadratic twists by: -3 5 |