Atkin-Lehner |
3+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35475d |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
285600 |
Modular degree for the optimal curve |
Δ |
-17375544140625 = -1 · 37 · 58 · 11 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 11- 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-927388,-344134594] |
[a1,a2,a3,a4,a6] |
Generators |
[1669042596318:-45765645414166:1115157653] |
Generators of the group modulo torsion |
j |
-225812574787268065/44481393 |
j-invariant |
L |
3.0207028045149 |
L(r)(E,1)/r! |
Ω |
0.076922640450848 |
Real period |
R |
19.634679639248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425v1 35475i1 |
Quadratic twists by: -3 5 |