Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dx |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
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 |
[64:-364:1] |
Generators of the group modulo torsion |
j |
3721734000/1399489 |
j-invariant |
L |
5.0492340561705 |
L(r)(E,1)/r! |
Ω |
0.83448878781724 |
Real period |
R |
0.75633641366368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416bc2 13104bb2 52416dw2 |
Quadratic twists by: -4 8 -3 |