Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550bf |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7466554687500 = -1 · 22 · 37 · 59 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1751,-134602] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-1184:1] |
Generators of the group modulo torsion |
j |
-37966934881/477859500 |
j-invariant |
L |
5.3234164526 |
L(r)(E,1)/r! |
Ω |
0.3169289301431 |
Real period |
R |
0.29994424317553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110be1 |
Quadratic twists by: 5 |