Atkin-Lehner |
2+ 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230n |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1114635471847200 = -1 · 25 · 36 · 52 · 173 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45654,-4087544] |
[a1,a2,a3,a4,a6] |
j |
-10523168898503496409/1114635471847200 |
j-invariant |
L |
1.9480070990386 |
L(r)(E,1)/r! |
Ω |
0.16233392492268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111690bw1 |
Quadratic twists by: -3 |