Atkin-Lehner |
2- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642u |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
110462464 = 29 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2- -1 1 7- -6 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120,-71] |
[a1,a2,a3,a4,a6] |
Generators |
[13:21:1] [-7:25:1] |
Generators of the group modulo torsion |
j |
557441767/322048 |
j-invariant |
L |
12.285322212472 |
L(r)(E,1)/r! |
Ω |
1.5759612943696 |
Real period |
R |
0.43308037014057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61642z1 |
Quadratic twists by: -7 |