Atkin-Lehner |
5+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825n |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
9598606325 = 52 · 73 · 113 · 292 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 11- 7 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1235,16026] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1116:1] |
Generators of the group modulo torsion |
j |
8332677550080/383944253 |
j-invariant |
L |
3.5163742688781 |
L(r)(E,1)/r! |
Ω |
1.2789613269948 |
Real period |
R |
0.15274435740686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825r1 |
Quadratic twists by: 5 |