Atkin-Lehner |
3- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35475j |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25056 |
Modular degree for the optimal curve |
Δ |
-41529695625 = -1 · 33 · 54 · 113 · 432 |
Discriminant |
Eigenvalues |
1 3- 5- -1 11+ -4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-601,11273] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:137:1] |
Generators of the group modulo torsion |
j |
-38320214425/66447513 |
j-invariant |
L |
6.8862775513873 |
L(r)(E,1)/r! |
Ω |
1.0239200914267 |
Real period |
R |
1.1209008738483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425ba1 35475b1 |
Quadratic twists by: -3 5 |