Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800hc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-153083782341504000 = -1 · 210 · 320 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110640,23558600] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:6120:1] |
Generators of the group modulo torsion |
j |
-1605176213504/1640558367 |
j-invariant |
L |
4.3156086213402 |
L(r)(E,1)/r! |
Ω |
0.29547528045988 |
Real period |
R |
3.6514125828737 |
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 |
100800pv1 6300w1 33600bq1 100800ij1 |
Quadratic twists by: -4 8 -3 5 |