Atkin-Lehner |
3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102921m |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
7605205159143501 = 38 · 72 · 138 · 29 |
Discriminant |
Eigenvalues |
2 3- 3 7- -2 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-255584,49471049] |
[a1,a2,a3,a4,a6] |
Generators |
[2138:4559:8] |
Generators of the group modulo torsion |
j |
2263495217152/9323181 |
j-invariant |
L |
21.276611104668 |
L(r)(E,1)/r! |
Ω |
0.4190394262125 |
Real period |
R |
1.0578067443587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102921j1 |
Quadratic twists by: 13 |