Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575n |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3681782818625925 = -1 · 322 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 1 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34960,-1489408] |
[a1,a2,a3,a4,a6] |
Generators |
[270:5116:1] |
Generators of the group modulo torsion |
j |
259287806165855/202018261653 |
j-invariant |
L |
4.7925506944599 |
L(r)(E,1)/r! |
Ω |
0.24671151130273 |
Real period |
R |
4.8564319812561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18525n1 55575bh1 |
Quadratic twists by: -3 5 |