Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552u |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
20023505911808 = 216 · 78 · 53 |
Discriminant |
Eigenvalues |
2- -2 4 7+ 3 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94096,11076372] |
[a1,a2,a3,a4,a6] |
j |
3902092369/848 |
j-invariant |
L |
2.66235940611 |
L(r)(E,1)/r! |
Ω |
0.66558985150299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194l1 41552bk1 |
Quadratic twists by: -4 -7 |