Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bc |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
619089149952 = 214 · 33 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2460,-27792] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:104:1] |
Generators of the group modulo torsion |
j |
3721734000/1399489 |
j-invariant |
L |
7.4033386962509 |
L(r)(E,1)/r! |
Ω |
0.69956069110428 |
Real period |
R |
0.66142748499507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416dx2 3276d2 52416bd2 |
Quadratic twists by: -4 8 -3 |