Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880u |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-183064932147200 = -1 · 213 · 52 · 197 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8544,572800] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2888:1] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
4.0186822099237 |
L(r)(E,1)/r! |
Ω |
0.3986304019048 |
Real period |
R |
0.31503823707382 |
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 |
3610g1 115520cs1 1520h1 |
Quadratic twists by: -4 8 -19 |