Atkin-Lehner |
2+ 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296g |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
196837744896 = 28 · 36 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1612,-12320] |
[a1,a2,a3,a4,a6] |
Generators |
[105054:2306395:216] |
Generators of the group modulo torsion |
j |
1810707268048/768897441 |
j-invariant |
L |
6.6760557135139 |
L(r)(E,1)/r! |
Ω |
0.78268461702067 |
Real period |
R |
8.5296881634438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24648h2 |
Quadratic twists by: -4 |