Atkin-Lehner |
2+ 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742b |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-3487640832 = -1 · 28 · 32 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 4 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,335,-1451] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-113:1] |
Generators of the group modulo torsion |
j |
144896375/122112 |
j-invariant |
L |
3.0542583679638 |
L(r)(E,1)/r! |
Ω |
0.77723119159329 |
Real period |
R |
0.32747210021293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53742l1 |
Quadratic twists by: 13 |