Atkin-Lehner |
2+ 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103090a |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
-40269531250 = -1 · 2 · 59 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -4 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27888,1781018] |
[a1,a2,a3,a4,a6] |
Generators |
[21066:-4799:216] |
Generators of the group modulo torsion |
j |
-14194282651137121/238281250 |
j-invariant |
L |
6.8072967230633 |
L(r)(E,1)/r! |
Ω |
1.05264173586 |
Real period |
R |
6.4668695014866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999786092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103090q1 |
Quadratic twists by: 13 |