Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658u |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-819898776106592 = -1 · 25 · 79 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 1 4 7- -5 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23274,175748] |
[a1,a2,a3,a4,a6] |
j |
34550415593/20317856 |
j-invariant |
L |
6.097865377067 |
L(r)(E,1)/r! |
Ω |
0.30489326885335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21658z1 |
Quadratic twists by: -7 |