Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568p |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-106122617065460736 = -1 · 210 · 319 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -6 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97347,-19553038] |
[a1,a2,a3,a4,a6] |
Generators |
[21067:3057426:1] |
Generators of the group modulo torsion |
j |
-136667088859396/142160998941 |
j-invariant |
L |
4.7777365407165 |
L(r)(E,1)/r! |
Ω |
0.12975667969254 |
Real period |
R |
4.6025920900923 |
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 |
17784h1 11856e1 |
Quadratic twists by: -4 -3 |