Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248p |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
60021080064 = 216 · 32 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10209,393471] |
[a1,a2,a3,a4,a6] |
j |
1795708889572/915849 |
j-invariant |
L |
2.1904588334848 |
L(r)(E,1)/r! |
Ω |
1.0952294169492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61248bv2 7656f2 |
Quadratic twists by: -4 8 |