Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040n |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7993283232000 = 28 · 3 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93556,-10982300] |
[a1,a2,a3,a4,a6] |
Generators |
[354:368:1] |
Generators of the group modulo torsion |
j |
353755600810532944/31223762625 |
j-invariant |
L |
3.0465938067922 |
L(r)(E,1)/r! |
Ω |
0.27298171420061 |
Real period |
R |
5.5802159054432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080s2 |
Quadratic twists by: -4 |