Atkin-Lehner |
2+ 3+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146d |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-351619776 = -1 · 26 · 32 · 193 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 5 -3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,28,912] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-84:1] |
Generators of the group modulo torsion |
j |
2294744759/351619776 |
j-invariant |
L |
3.0100540789711 |
L(r)(E,1)/r! |
Ω |
1.3124540016389 |
Real period |
R |
0.19112124280243 |
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 |
81168ci1 30438r1 |
Quadratic twists by: -4 -3 |