Atkin-Lehner |
2- 3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402bn |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-144559610874 = -1 · 2 · 37 · 7 · 173 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5738,169715] |
[a1,a2,a3,a4,a6] |
j |
-28655425171801/198298506 |
j-invariant |
L |
4.1491502770383 |
L(r)(E,1)/r! |
Ω |
1.0372875716165 |
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 |
22134t1 |
Quadratic twists by: -3 |