Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470k |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-39940725075128000 = -1 · 26 · 53 · 177 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22103,-9522619] |
[a1,a2,a3,a4,a6] |
Generators |
[2602:131639:1] |
Generators of the group modulo torsion |
j |
49471280711/1654712000 |
j-invariant |
L |
2.1222792747476 |
L(r)(E,1)/r! |
Ω |
0.1749409516934 |
Real period |
R |
0.16849171542147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910b2 |
Quadratic twists by: 17 |