Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574cd |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-206252217864 = -1 · 23 · 33 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1394,29063] |
[a1,a2,a3,a4,a6] |
j |
-3451273/2376 |
j-invariant |
L |
5.5411009428157 |
L(r)(E,1)/r! |
Ω |
0.92351682380257 |
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 |
106722dq1 35574co1 3234d1 |
Quadratic twists by: -3 -7 -11 |