Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800hc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
384144397572096000 = 214 · 313 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2078940,1153362800] |
[a1,a2,a3,a4,a6] |
Generators |
[805:1215:1] |
Generators of the group modulo torsion |
j |
665567485783184/257298363 |
j-invariant |
L |
4.3156086213402 |
L(r)(E,1)/r! |
Ω |
0.29547528045988 |
Real period |
R |
1.8257062914368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800pv2 6300w2 33600bq2 100800ij2 |
Quadratic twists by: -4 8 -3 5 |