Atkin-Lehner |
3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102921a |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17971200 |
Modular degree for the optimal curve |
Δ |
3.5291731259787E+25 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 0 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-90159021,163980248330] |
[a1,a2,a3,a4,a6] |
Generators |
[293274:54331637:8] |
Generators of the group modulo torsion |
j |
99358370463056134144/43263947711229021 |
j-invariant |
L |
2.2514325827095 |
L(r)(E,1)/r! |
Ω |
0.058784606702939 |
Real period |
R |
3.1916413434062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102921g1 |
Quadratic twists by: 13 |