Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55384c |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6067200 |
Modular degree for the optimal curve |
Δ |
-2.5379916435101E+23 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 -2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604588,24238833216] |
[a1,a2,a3,a4,a6] |
Generators |
[108909840:-10157444864:59319] |
Generators of the group modulo torsion |
j |
-95469145189463554000/991402985746140903943 |
j-invariant |
L |
3.8810719784653 |
L(r)(E,1)/r! |
Ω |
0.078772847632291 |
Real period |
R |
12.317289825036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110768d1 |
Quadratic twists by: -4 |