Atkin-Lehner |
2+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13640c |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.432333984375E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1769604,452222420] |
[a1,a2,a3,a4,a6] |
Generators |
[-28941123335081694:-8829600289252701632:475812502402509] |
Generators of the group modulo torsion |
j |
2393931808483113851696/1731380462646484375 |
j-invariant |
L |
6.1903337730146 |
L(r)(E,1)/r! |
Ω |
0.10628139704724 |
Real period |
R |
29.122376751704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27280e2 109120o2 122760bz2 68200q2 |
Quadratic twists by: -4 8 -3 5 |