Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368c |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
49337025537024 = 210 · 34 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20464,1081744] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:1260:1] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
4.1009160383998 |
L(r)(E,1)/r! |
Ω |
0.62607196443802 |
Real period |
R |
3.2751155389002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20184f3 121104l3 48a3 |
Quadratic twists by: -4 -3 29 |