Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110by |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-66071678400 = -1 · 26 · 33 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-12643] |
[a1,a2,a3,a4,a6] |
j |
-24137569/561600 |
j-invariant |
L |
2.8586251922278 |
L(r)(E,1)/r! |
Ω |
0.47643753203797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330r1 95550ei1 390c1 |
Quadratic twists by: -3 5 -7 |