Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44835bb |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
207694971028125 = 33 · 55 · 79 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -1 7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-139715,20042306] |
[a1,a2,a3,a4,a6] |
Generators |
[310:2572:1] |
Generators of the group modulo torsion |
j |
7474352324608/5146875 |
j-invariant |
L |
6.9418211586879 |
L(r)(E,1)/r! |
Ω |
0.55763551335432 |
Real period |
R |
0.41495570687554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44835c1 |
Quadratic twists by: -7 |