Atkin-Lehner |
2+ 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350o |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2.0943886261675E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,298174,211102548] |
[a1,a2,a3,a4,a6] |
Generators |
[-427:2657:1] [-24:14292:1] |
Generators of the group modulo torsion |
j |
7505421472967495/53616348829888 |
j-invariant |
L |
5.2619110460945 |
L(r)(E,1)/r! |
Ω |
0.15682643207573 |
Real period |
R |
1.8640250089254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350s2 |
Quadratic twists by: 5 |