Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710k |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-60061375000 = -1 · 23 · 56 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11+ 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,468,-10936] |
[a1,a2,a3,a4,a6] |
Generators |
[23:101:1] |
Generators of the group modulo torsion |
j |
31297042079/166375000 |
j-invariant |
L |
5.2724706040652 |
L(r)(E,1)/r! |
Ω |
0.55745278078742 |
Real period |
R |
1.5763579104155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39710z1 |
Quadratic twists by: -19 |