Atkin-Lehner |
37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103933c |
Isogeny class |
Conductor |
103933 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320112 |
Modular degree for the optimal curve |
Δ |
43464312173969 = 37 · 537 |
Discriminant |
Eigenvalues |
-1 0 -2 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-115696,15172506] |
[a1,a2,a3,a4,a6] |
j |
7727161833/1961 |
j-invariant |
L |
0.62568790357859 |
L(r)(E,1)/r! |
Ω |
0.62568798216562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1961a1 |
Quadratic twists by: 53 |