Atkin-Lehner |
2+ 7- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121618d |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
418908943883528 = 23 · 76 · 174 · 732 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23627,998045] |
[a1,a2,a3,a4,a6] |
Generators |
[37:398:1] |
Generators of the group modulo torsion |
j |
12398568773625/3560667272 |
j-invariant |
L |
3.3759522260739 |
L(r)(E,1)/r! |
Ω |
0.49391831642229 |
Real period |
R |
0.85438018415544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000144946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482a2 |
Quadratic twists by: -7 |