Atkin-Lehner |
3- 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23607c |
Isogeny class |
Conductor |
23607 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
50731949428766181 = 321 · 433 · 61 |
Discriminant |
Eigenvalues |
-2 3- 3 4 -4 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-190911,30222504] |
[a1,a2,a3,a4,a6] |
j |
1055574867213733888/69591151479789 |
j-invariant |
L |
1.3980972939038 |
L(r)(E,1)/r! |
Ω |
0.34952432347593 |
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 |
7869e1 |
Quadratic twists by: -3 |