Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68952y |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
756225819648 = 210 · 32 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8168,-283776] |
[a1,a2,a3,a4,a6] |
Generators |
[890:3549:8] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
6.7740233327388 |
L(r)(E,1)/r! |
Ω |
0.50256906867873 |
Real period |
R |
3.3696976964085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
408a1 |
Quadratic twists by: 13 |