Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6080i |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-249036800 = -1 · 219 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 0 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,703] |
[a1,a2,a3,a4,a6] |
Generators |
[3:32:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
4.737619965534 |
L(r)(E,1)/r! |
Ω |
1.2286614157556 |
Real period |
R |
0.48198998365029 |
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 |
6080t1 190b1 54720bd1 30400k1 |
Quadratic twists by: -4 8 -3 5 |