Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350dp |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-16375692118500000 = -1 · 25 · 36 · 56 · 112 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,62995,-949003] |
[a1,a2,a3,a4,a6] |
Generators |
[115:2736:1] |
Generators of the group modulo torsion |
j |
2427173723519/1437646496 |
j-invariant |
L |
8.5086026648582 |
L(r)(E,1)/r! |
Ω |
0.22898828819962 |
Real period |
R |
3.7157370499799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150f1 2574h1 |
Quadratic twists by: -3 5 |