Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040w |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
360448 |
Modular degree for the optimal curve |
Δ |
7188871698028800 = 28 · 34 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49556,1162044] |
[a1,a2,a3,a4,a6] |
Generators |
[2522:32955:8] [-209:1560:1] |
Generators of the group modulo torsion |
j |
52575237512036944/28081530070425 |
j-invariant |
L |
9.7432058761421 |
L(r)(E,1)/r! |
Ω |
0.36667538754723 |
Real period |
R |
0.83036711481012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520p1 |
Quadratic twists by: -4 |