Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200q |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6292000000000 = 211 · 59 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68875,6956250] |
[a1,a2,a3,a4,a6] |
Generators |
[154:42:1] |
Generators of the group modulo torsion |
j |
9033344154/1573 |
j-invariant |
L |
5.3894100934555 |
L(r)(E,1)/r! |
Ω |
0.72998013305634 |
Real period |
R |
3.6914772399204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28600v2 57200p2 |
Quadratic twists by: -4 5 |