Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742t |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1579292590067712 = -1 · 212 · 316 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25223,1132793] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:503:1] |
Generators of the group modulo torsion |
j |
10500891013172183/9344926568448 |
j-invariant |
L |
14.373074464173 |
L(r)(E,1)/r! |
Ω |
0.30979828384989 |
Real period |
R |
0.24164034062467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53742g1 |
Quadratic twists by: 13 |