Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mi |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
7.2962669936041E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360035175,-2597139043000] |
[a1,a2,a3,a4,a6] |
Generators |
[681548263756881847290149190835054606773166989704982842:186862305994166545227025700620658370432230200435084571409:8511648881498663372255140666342004551958949543848] |
Generators of the group modulo torsion |
j |
7079962908642659949376/100085966990454375 |
j-invariant |
L |
5.3933679180675 |
L(r)(E,1)/r! |
Ω |
0.034688460606957 |
Real period |
R |
77.740087511391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nv1 50400df3 33600eo1 20160fi1 |
Quadratic twists by: -4 8 -3 5 |