Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800d |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
758661120000000 = 220 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168300,26542000] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:6400:1] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
6.5149294206981 |
L(r)(E,1)/r! |
Ω |
0.50463049997228 |
Real period |
R |
1.6137870720291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jo1 3150w1 100800c3 20160t1 |
Quadratic twists by: -4 8 -3 5 |