Atkin-Lehner |
3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725v |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
876480 |
Modular degree for the optimal curve |
Δ |
-38544919651969875 = -1 · 311 · 53 · 196 · 37 |
Discriminant |
Eigenvalues |
0 3- 5- -2 4 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2114553,-1184263846] |
[a1,a2,a3,a4,a6] |
Generators |
[3858:-219308:1] |
Generators of the group modulo torsion |
j |
-8365070959291265712128/308359357215759 |
j-invariant |
L |
6.0156011024697 |
L(r)(E,1)/r! |
Ω |
0.062598501579566 |
Real period |
R |
0.7280163977552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52725l1 |
Quadratic twists by: 5 |