Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5208f |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-289314816 = -1 · 211 · 3 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56,-784] |
[a1,a2,a3,a4,a6] |
Generators |
[218:1179:8] |
Generators of the group modulo torsion |
j |
9314926/141267 |
j-invariant |
L |
4.1545878784 |
L(r)(E,1)/r! |
Ω |
0.8464702149026 |
Real period |
R |
4.9081323893695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416c2 41664r2 15624y2 36456g2 |
Quadratic twists by: -4 8 -3 -7 |