Atkin-Lehner |
2+ 3+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20862c |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-2435346432 = -1 · 212 · 33 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1212,16720] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:191:1] [17:20:1] |
Generators of the group modulo torsion |
j |
-7295740054875/90198016 |
j-invariant |
L |
5.5143097586912 |
L(r)(E,1)/r! |
Ω |
1.4553488949683 |
Real period |
R |
1.8944975248741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20862r1 |
Quadratic twists by: -3 |