Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800em |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
244944000000 = 210 · 37 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6600,205000] |
[a1,a2,a3,a4,a6] |
Generators |
[65:225:1] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
7.550210496722 |
L(r)(E,1)/r! |
Ω |
0.99251920420526 |
Real period |
R |
0.95088972580116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800lb1 12600q1 33600cr1 4032f1 |
Quadratic twists by: -4 8 -3 5 |