Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10608f |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
238298112 = 210 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424,3140] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:48:1] [-16:78:1] |
Generators of the group modulo torsion |
j |
8251733668/232713 |
j-invariant |
L |
5.8773884466961 |
L(r)(E,1)/r! |
Ω |
1.7532960946835 |
Real period |
R |
0.41902423558958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304g1 42432bu1 31824k1 |
Quadratic twists by: -4 8 -3 |