Atkin-Lehner |
2+ 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53742j |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94848 |
Modular degree for the optimal curve |
Δ |
-1556414215668 = -1 · 22 · 32 · 138 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,503,-59824] |
[a1,a2,a3,a4,a6] |
Generators |
[37:80:1] |
Generators of the group modulo torsion |
j |
17303/1908 |
j-invariant |
L |
5.2964749066674 |
L(r)(E,1)/r! |
Ω |
0.40122737993316 |
Real period |
R |
3.3001704093482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53742w1 |
Quadratic twists by: 13 |