Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826s |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
28288 |
Modular degree for the optimal curve |
Δ |
-4094558208 = -1 · 217 · 33 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 -3 -6 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-317,3845] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:40:1] [15:-56:1] |
Generators of the group modulo torsion |
j |
-130092635763/151650304 |
j-invariant |
L |
8.1920364874696 |
L(r)(E,1)/r! |
Ω |
1.2580391898316 |
Real period |
R |
0.19152205398607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20826d1 |
Quadratic twists by: -3 |