Atkin-Lehner |
2+ 3+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
102414h |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23043514389012 = 22 · 32 · 137 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45802,3746800] |
[a1,a2,a3,a4,a6] |
Generators |
[447:-8758:1] [-8:2032:1] |
Generators of the group modulo torsion |
j |
2201566159729/4774068 |
j-invariant |
L |
4.9728929925639 |
L(r)(E,1)/r! |
Ω |
0.67737166585113 |
Real period |
R |
0.91768176219023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878e2 |
Quadratic twists by: 13 |