Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775ce |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-10888277080078125 = -1 · 36 · 510 · 76 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -1 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14674,-4972327] |
[a1,a2,a3,a4,a6] |
Generators |
[1821:76942:1] |
Generators of the group modulo torsion |
j |
304175/9477 |
j-invariant |
L |
7.7852198854675 |
L(r)(E,1)/r! |
Ω |
0.19518004198732 |
Real period |
R |
6.6478961391904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bq1 975c1 |
Quadratic twists by: 5 -7 |