Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024b |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1779801601536 = 29 · 32 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7232,230280] |
[a1,a2,a3,a4,a6] |
Generators |
[29:210:1] |
Generators of the group modulo torsion |
j |
81712604606984/3476175003 |
j-invariant |
L |
6.0388636822553 |
L(r)(E,1)/r! |
Ω |
0.82879726570917 |
Real period |
R |
1.8215744465201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024l3 90048x4 |
Quadratic twists by: -4 8 |