Atkin-Lehner |
2+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10672a |
Isogeny class |
Conductor |
10672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-4951808 = -1 · 28 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31,126] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
-12869712/19343 |
j-invariant |
L |
3.7933033797973 |
L(r)(E,1)/r! |
Ω |
2.1838236023633 |
Real period |
R |
1.7370008162254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5336b1 42688o1 96048m1 |
Quadratic twists by: -4 8 -3 |