Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880s |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-14786560 = -1 · 213 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-323,2242] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-8:1] |
Generators of the group modulo torsion |
j |
-2520369/10 |
j-invariant |
L |
3.4341479226801 |
L(r)(E,1)/r! |
Ω |
2.2291840016563 |
Real period |
R |
0.38513508980511 |
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 |
3610b1 115520co1 28880o1 |
Quadratic twists by: -4 8 -19 |