Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635j |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-289985757075 = -1 · 37 · 52 · 74 · 472 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 0 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1617,-6701] |
[a1,a2,a3,a4,a6] |
Generators |
[242:2111:8] |
Generators of the group modulo torsion |
j |
267137024/165675 |
j-invariant |
L |
12.203624099761 |
L(r)(E,1)/r! |
Ω |
0.56180744572039 |
Real period |
R |
1.3576297573861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34545g1 103635bi1 |
Quadratic twists by: -3 -7 |