Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400v |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
188416 |
Modular degree for the optimal curve |
Δ |
-721039968000 = -1 · 28 · 34 · 53 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7228,242452] |
[a1,a2,a3,a4,a6] |
Generators |
[46:72:1] |
Generators of the group modulo torsion |
j |
-1305233612048/22532499 |
j-invariant |
L |
6.7783873054295 |
L(r)(E,1)/r! |
Ω |
0.90386422466394 |
Real period |
R |
1.874835584583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400de1 |
Quadratic twists by: 5 |