Atkin-Lehner |
2- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642ba |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
28957072162816 = 227 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 0 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-291376,60416145] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-91:1] |
Generators of the group modulo torsion |
j |
7976107824377706343/84422950912 |
j-invariant |
L |
6.5890525801898 |
L(r)(E,1)/r! |
Ω |
0.60057977279873 |
Real period |
R |
0.20316950011997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61642t1 |
Quadratic twists by: -7 |