Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640i |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
17738240000 = 212 · 54 · 132 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1443536,-668040236] |
[a1,a2,a3,a4,a6] |
Generators |
[1484:21450:1] |
Generators of the group modulo torsion |
j |
81216996058270056529/4330625 |
j-invariant |
L |
2.2594536165768 |
L(r)(E,1)/r! |
Ω |
0.1377344644912 |
Real period |
R |
4.1011042968207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665b1 |
Quadratic twists by: -4 |