Atkin-Lehner |
3- 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20559f |
Isogeny class |
Conductor |
20559 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-18963272097 = -1 · 33 · 72 · 115 · 89 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- 1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,472,5361] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-194:1] |
Generators of the group modulo torsion |
j |
11627656661375/18963272097 |
j-invariant |
L |
4.1311255366571 |
L(r)(E,1)/r! |
Ω |
0.83431929678026 |
Real period |
R |
0.16504974185142 |
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 |
61677e1 |
Quadratic twists by: -3 |