Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490dt |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
924 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
162270501120000 = 211 · 37 · 54 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29845,1885025] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:-1825:1] |
Generators of the group modulo torsion |
j |
17396130889999849/960180480000 |
j-invariant |
L |
11.393158531935 |
L(r)(E,1)/r! |
Ω |
0.56628358443949 |
Real period |
R |
0.021773998911958 |
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 |
106470bq1 35490z1 |
Quadratic twists by: -3 13 |