Atkin-Lehner |
2+ 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56088c |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13246301050315776 = 210 · 310 · 194 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399819,-97149130] |
[a1,a2,a3,a4,a6] |
Generators |
[-3585109735:-3681435744:9938375] |
Generators of the group modulo torsion |
j |
9468616193669668/17744637681 |
j-invariant |
L |
7.885644503784 |
L(r)(E,1)/r! |
Ω |
0.18988147159558 |
Real period |
R |
10.382324875527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999875 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112176g2 18696f2 |
Quadratic twists by: -4 -3 |