Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760c |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
316714112000 = 210 · 53 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28328,1834952] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:527:1] [-23:1573:1] |
Generators of the group modulo torsion |
j |
2455113061103616/309291125 |
j-invariant |
L |
8.6740532063781 |
L(r)(E,1)/r! |
Ω |
0.93049186230515 |
Real period |
R |
4.6610043342505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45760bl1 5720c1 |
Quadratic twists by: -4 8 |