Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800c |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
6193152000000000 = 224 · 33 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74700,6886000] |
[a1,a2,a3,a4,a6] |
Generators |
[104:492:1] |
Generators of the group modulo torsion |
j |
416832723/56000 |
j-invariant |
L |
6.6322742541823 |
L(r)(E,1)/r! |
Ω |
0.40829746655853 |
Real period |
R |
4.0609327820179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jn1 3150b1 100800d3 20160h1 |
Quadratic twists by: -4 8 -3 5 |