Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824ba |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.9737413636482E+25 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69354952,308424491504] |
[a1,a2,a3,a4,a6] |
Generators |
[-2188:670592:1] |
Generators of the group modulo torsion |
j |
-1866105028152018577/998320940624384 |
j-invariant |
L |
2.9234349768332 |
L(r)(E,1)/r! |
Ω |
0.063679374319092 |
Real period |
R |
0.95643049221025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478a2 6448j2 |
Quadratic twists by: -4 13 |