Atkin-Lehner |
3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575f |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25856 |
Modular degree for the optimal curve |
Δ |
-15838875 = -1 · 33 · 53 · 13 · 192 |
Discriminant |
Eigenvalues |
-2 3+ 5- -5 -3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-105,456] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-29:1] [5:-8:1] |
Generators of the group modulo torsion |
j |
-37933056/4693 |
j-invariant |
L |
4.2058857856748 |
L(r)(E,1)/r! |
Ω |
2.1411979193907 |
Real period |
R |
0.24553345510365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55575e1 55575c1 |
Quadratic twists by: -3 5 |