Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350k |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
63385156250000000 = 27 · 514 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-196150,31084500] |
[a1,a2,a3,a4,a6] |
Generators |
[31453905:1802780860:9261] |
Generators of the group modulo torsion |
j |
53416088531634529/4056650000000 |
j-invariant |
L |
6.4352345500134 |
L(r)(E,1)/r! |
Ω |
0.3419668846947 |
Real period |
R |
9.4091487188832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10270c2 |
Quadratic twists by: 5 |